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Finding the Fourth Proportional to 1,135.89, 1,565.46 and 781.83

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Solution

The fourth proportional to 1,135.89, 1,565.46 and 781.83 is: 1,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.89 : 1,565.46 = 781.83 : x
  2. Step 2: Convert to fraction form
    1,135.89/1,565.46 = 781.83/x
  3. Step 3: Cross multiply
    1,135.89x = 1,565.46 × 781.83
  4. Step 4: Simplify right side
    1,135.89x = 1,223,923.59
  5. Step 5: Solve for x
    x = 1,223,923.59/1,135.89
  6. Step 6: Final answer
    x = 1,077.50

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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.