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Finding the Fourth Proportional to 898.18, 1,239.26 and 525.17

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Solution

The fourth proportional to 898.18, 1,239.26 and 525.17 is: 724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.18 : 1,239.26 = 525.17 : x
  2. Step 2: Convert to fraction form
    898.18/1,239.26 = 525.17/x
  3. Step 3: Cross multiply
    898.18x = 1,239.26 × 525.17
  4. Step 4: Simplify right side
    898.18x = 650,822.17
  5. Step 5: Solve for x
    x = 650,822.17/898.18
  6. Step 6: Final answer
    x = 724.60

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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.