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Finding the Fourth Proportional to 1,138.90, 1,708.35 and 1,131.70

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Solution

The fourth proportional to 1,138.90, 1,708.35 and 1,131.70 is: 1,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.90 : 1,708.35 = 1,131.70 : x
  2. Step 2: Convert to fraction form
    1,138.90/1,708.35 = 1,131.70/x
  3. Step 3: Cross multiply
    1,138.90x = 1,708.35 × 1,131.70
  4. Step 4: Simplify right side
    1,138.90x = 1,933,339.70
  5. Step 5: Solve for x
    x = 1,933,339.70/1,138.90
  6. Step 6: Final answer
    x = 1,697.55

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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.