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Finding the Fourth Proportional to 898.71, 1,240.25 and 505.73

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Solution

The fourth proportional to 898.71, 1,240.25 and 505.73 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.71 : 1,240.25 = 505.73 : x
  2. Step 2: Convert to fraction form
    898.71/1,240.25 = 505.73/x
  3. Step 3: Cross multiply
    898.71x = 1,240.25 × 505.73
  4. Step 4: Simplify right side
    898.71x = 627,222.90
  5. Step 5: Solve for x
    x = 627,222.90/898.71
  6. Step 6: Final answer
    x = 697.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.