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Finding the Fourth Proportional to 1,061.33, 1,464.81 and 641.74

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Solution

The fourth proportional to 1,061.33, 1,464.81 and 641.74 is: 885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.33 : 1,464.81 = 641.74 : x
  2. Step 2: Convert to fraction form
    1,061.33/1,464.81 = 641.74/x
  3. Step 3: Cross multiply
    1,061.33x = 1,464.81 × 641.74
  4. Step 4: Simplify right side
    1,061.33x = 940,027.17
  5. Step 5: Solve for x
    x = 940,027.17/1,061.33
  6. Step 6: Final answer
    x = 885.71

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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.