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Finding the Fourth Proportional to 1,139.61, 1,708.20 and 935.13

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Solution

The fourth proportional to 1,139.61, 1,708.20 and 935.13 is: 1,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.61 : 1,708.20 = 935.13 : x
  2. Step 2: Convert to fraction form
    1,139.61/1,708.20 = 935.13/x
  3. Step 3: Cross multiply
    1,139.61x = 1,708.20 × 935.13
  4. Step 4: Simplify right side
    1,139.61x = 1,597,389.07
  5. Step 5: Solve for x
    x = 1,597,389.07/1,139.61
  6. Step 6: Final answer
    x = 1,401.70

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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.