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Finding the Fourth Proportional to 1,021.37, 1,532.06 and 816.35

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Solution

The fourth proportional to 1,021.37, 1,532.06 and 816.35 is: 1,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.37 : 1,532.06 = 816.35 : x
  2. Step 2: Convert to fraction form
    1,021.37/1,532.06 = 816.35/x
  3. Step 3: Cross multiply
    1,021.37x = 1,532.06 × 816.35
  4. Step 4: Simplify right side
    1,021.37x = 1,250,685.44
  5. Step 5: Solve for x
    x = 1,250,685.44/1,021.37
  6. Step 6: Final answer
    x = 1,224.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.