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Finding the Fourth Proportional to 898.04, 1,239.71 and 524.96

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Solution

The fourth proportional to 898.04, 1,239.71 and 524.96 is: 724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.04 : 1,239.71 = 524.96 : x
  2. Step 2: Convert to fraction form
    898.04/1,239.71 = 524.96/x
  3. Step 3: Cross multiply
    898.04x = 1,239.71 × 524.96
  4. Step 4: Simplify right side
    898.04x = 650,789.34
  5. Step 5: Solve for x
    x = 650,789.34/898.04
  6. Step 6: Final answer
    x = 724.68

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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.