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Finding the Fourth Proportional to 731.09, 1,008.73 and 469.19

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Solution

The fourth proportional to 731.09, 1,008.73 and 469.19 is: 647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.09 : 1,008.73 = 469.19 : x
  2. Step 2: Convert to fraction form
    731.09/1,008.73 = 469.19/x
  3. Step 3: Cross multiply
    731.09x = 1,008.73 × 469.19
  4. Step 4: Simplify right side
    731.09x = 473,286.03
  5. Step 5: Solve for x
    x = 473,286.03/731.09
  6. Step 6: Final answer
    x = 647.37

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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.