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Finding the Fourth Proportional to 898.76, 1,240.20 and 505.85

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Solution

The fourth proportional to 898.76, 1,240.20 and 505.85 is: 698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.76 : 1,240.20 = 505.85 : x
  2. Step 2: Convert to fraction form
    898.76/1,240.20 = 505.85/x
  3. Step 3: Cross multiply
    898.76x = 1,240.20 × 505.85
  4. Step 4: Simplify right side
    898.76x = 627,355.17
  5. Step 5: Solve for x
    x = 627,355.17/898.76
  6. Step 6: Final answer
    x = 698.02

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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.