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Finding the Fourth Proportional to 1,066.67, 1,472.23 and 731.03

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Solution

The fourth proportional to 1,066.67, 1,472.23 and 731.03 is: 1,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.67 : 1,472.23 = 731.03 : x
  2. Step 2: Convert to fraction form
    1,066.67/1,472.23 = 731.03/x
  3. Step 3: Cross multiply
    1,066.67x = 1,472.23 × 731.03
  4. Step 4: Simplify right side
    1,066.67x = 1,076,233.74
  5. Step 5: Solve for x
    x = 1,076,233.74/1,066.67
  6. Step 6: Final answer
    x = 1,008.97

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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.