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Finding the Fourth Proportional to 1,061.67, 1,464.57 and 711.75

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Solution

The fourth proportional to 1,061.67, 1,464.57 and 711.75 is: 981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.67 : 1,464.57 = 711.75 : x
  2. Step 2: Convert to fraction form
    1,061.67/1,464.57 = 711.75/x
  3. Step 3: Cross multiply
    1,061.67x = 1,464.57 × 711.75
  4. Step 4: Simplify right side
    1,061.67x = 1,042,407.70
  5. Step 5: Solve for x
    x = 1,042,407.70/1,061.67
  6. Step 6: Final answer
    x = 981.86

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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.