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Finding the Fourth Proportional to 1,066.73, 1,472.06 and 641.61

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Solution

The fourth proportional to 1,066.73, 1,472.06 and 641.61 is: 885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.73 : 1,472.06 = 641.61 : x
  2. Step 2: Convert to fraction form
    1,066.73/1,472.06 = 641.61/x
  3. Step 3: Cross multiply
    1,066.73x = 1,472.06 × 641.61
  4. Step 4: Simplify right side
    1,066.73x = 944,490.02
  5. Step 5: Solve for x
    x = 944,490.02/1,066.73
  6. Step 6: Final answer
    x = 885.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.