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Finding the Fourth Proportional to 816.14, 1,126.23 and 443.10

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Solution

The fourth proportional to 816.14, 1,126.23 and 443.10 is: 611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.14 : 1,126.23 = 443.10 : x
  2. Step 2: Convert to fraction form
    816.14/1,126.23 = 443.10/x
  3. Step 3: Cross multiply
    816.14x = 1,126.23 × 443.10
  4. Step 4: Simplify right side
    816.14x = 499,032.51
  5. Step 5: Solve for x
    x = 499,032.51/816.14
  6. Step 6: Final answer
    x = 611.46

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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.