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Finding the Fourth Proportional to 898.38, 1,239.86 and 525.48

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Solution

The fourth proportional to 898.38, 1,239.86 and 525.48 is: 725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.38 : 1,239.86 = 525.48 : x
  2. Step 2: Convert to fraction form
    898.38/1,239.86 = 525.48/x
  3. Step 3: Cross multiply
    898.38x = 1,239.86 × 525.48
  4. Step 4: Simplify right side
    898.38x = 651,521.63
  5. Step 5: Solve for x
    x = 651,521.63/898.38
  6. Step 6: Final answer
    x = 725.22

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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.