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Finding the Fourth Proportional to 898.77, 1,240.28 and 505.82

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Solution

The fourth proportional to 898.77, 1,240.28 and 505.82 is: 698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.77 : 1,240.28 = 505.82 : x
  2. Step 2: Convert to fraction form
    898.77/1,240.28 = 505.82/x
  3. Step 3: Cross multiply
    898.77x = 1,240.28 × 505.82
  4. Step 4: Simplify right side
    898.77x = 627,355.90
  5. Step 5: Solve for x
    x = 627,355.90/898.77
  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.