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Finding the Fourth Proportional to 898.57, 1,240.44 and 525.43

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Solution

The fourth proportional to 898.57, 1,240.44 and 525.43 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.57 : 1,240.44 = 525.43 : x
  2. Step 2: Convert to fraction form
    898.57/1,240.44 = 525.43/x
  3. Step 3: Cross multiply
    898.57x = 1,240.44 × 525.43
  4. Step 4: Simplify right side
    898.57x = 651,761.29
  5. Step 5: Solve for x
    x = 651,761.29/898.57
  6. Step 6: Final answer
    x = 725.33

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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.