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Finding the Fourth Proportional to 904.49, 1,248.24 and 531.59

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Solution

The fourth proportional to 904.49, 1,248.24 and 531.59 is: 733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.49 : 1,248.24 = 531.59 : x
  2. Step 2: Convert to fraction form
    904.49/1,248.24 = 531.59/x
  3. Step 3: Cross multiply
    904.49x = 1,248.24 × 531.59
  4. Step 4: Simplify right side
    904.49x = 663,545.66
  5. Step 5: Solve for x
    x = 663,545.66/904.49
  6. Step 6: Final answer
    x = 733.62

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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.