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Finding the Fourth Proportional to 1,147.38, 1,712.75 and 1,061.72

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Solution

The fourth proportional to 1,147.38, 1,712.75 and 1,061.72 is: 1,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.38 : 1,712.75 = 1,061.72 : x
  2. Step 2: Convert to fraction form
    1,147.38/1,712.75 = 1,061.72/x
  3. Step 3: Cross multiply
    1,147.38x = 1,712.75 × 1,061.72
  4. Step 4: Simplify right side
    1,147.38x = 1,818,462.61
  5. Step 5: Solve for x
    x = 1,818,462.61/1,147.38
  6. Step 6: Final answer
    x = 1,584.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.