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Finding the Fourth Proportional to 763.30, 1,053.37 and 431.72

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Solution

The fourth proportional to 763.30, 1,053.37 and 431.72 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.30 : 1,053.37 = 431.72 : x
  2. Step 2: Convert to fraction form
    763.30/1,053.37 = 431.72/x
  3. Step 3: Cross multiply
    763.30x = 1,053.37 × 431.72
  4. Step 4: Simplify right side
    763.30x = 454,757.97
  5. Step 5: Solve for x
    x = 454,757.97/763.30
  6. Step 6: Final answer
    x = 595.78

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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.