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Finding the Fourth Proportional to 1,140.90, 1,708.15 and 1,025.70

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Solution

The fourth proportional to 1,140.90, 1,708.15 and 1,025.70 is: 1,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.90 : 1,708.15 = 1,025.70 : x
  2. Step 2: Convert to fraction form
    1,140.90/1,708.15 = 1,025.70/x
  3. Step 3: Cross multiply
    1,140.90x = 1,708.15 × 1,025.70
  4. Step 4: Simplify right side
    1,140.90x = 1,752,049.46
  5. Step 5: Solve for x
    x = 1,752,049.46/1,140.90
  6. Step 6: Final answer
    x = 1,535.67

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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.