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Finding the Fourth Proportional to 1,061.78, 1,590.42 and 865.88

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Solution

The fourth proportional to 1,061.78, 1,590.42 and 865.88 is: 1,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.78 : 1,590.42 = 865.88 : x
  2. Step 2: Convert to fraction form
    1,061.78/1,590.42 = 865.88/x
  3. Step 3: Cross multiply
    1,061.78x = 1,590.42 × 865.88
  4. Step 4: Simplify right side
    1,061.78x = 1,377,112.87
  5. Step 5: Solve for x
    x = 1,377,112.87/1,061.78
  6. Step 6: Final answer
    x = 1,296.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.