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Finding the Fourth Proportional to 1,066.71, 1,472.04 and 624.87

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Solution

The fourth proportional to 1,066.71, 1,472.04 and 624.87 is: 862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.71 : 1,472.04 = 624.87 : x
  2. Step 2: Convert to fraction form
    1,066.71/1,472.04 = 624.87/x
  3. Step 3: Cross multiply
    1,066.71x = 1,472.04 × 624.87
  4. Step 4: Simplify right side
    1,066.71x = 919,833.63
  5. Step 5: Solve for x
    x = 919,833.63/1,066.71
  6. Step 6: Final answer
    x = 862.31

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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.