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Finding the Fourth Proportional to 1,021.19, 1,409.24 and 555.44

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Solution

The fourth proportional to 1,021.19, 1,409.24 and 555.44 is: 766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.19 : 1,409.24 = 555.44 : x
  2. Step 2: Convert to fraction form
    1,021.19/1,409.24 = 555.44/x
  3. Step 3: Cross multiply
    1,021.19x = 1,409.24 × 555.44
  4. Step 4: Simplify right side
    1,021.19x = 782,748.27
  5. Step 5: Solve for x
    x = 782,748.27/1,021.19
  6. Step 6: Final answer
    x = 766.51

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.