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Finding the Fourth Proportional to 1,066.76, 1,472.14 and 647.02

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Solution

The fourth proportional to 1,066.76, 1,472.14 and 647.02 is: 892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.76 : 1,472.14 = 647.02 : x
  2. Step 2: Convert to fraction form
    1,066.76/1,472.14 = 647.02/x
  3. Step 3: Cross multiply
    1,066.76x = 1,472.14 × 647.02
  4. Step 4: Simplify right side
    1,066.76x = 952,504.02
  5. Step 5: Solve for x
    x = 952,504.02/1,066.76
  6. Step 6: Final answer
    x = 892.89

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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.