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Finding the Fourth Proportional to 763.69, 1,053.92 and 432.13

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Solution

The fourth proportional to 763.69, 1,053.92 and 432.13 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.69 : 1,053.92 = 432.13 : x
  2. Step 2: Convert to fraction form
    763.69/1,053.92 = 432.13/x
  3. Step 3: Cross multiply
    763.69x = 1,053.92 × 432.13
  4. Step 4: Simplify right side
    763.69x = 455,430.45
  5. Step 5: Solve for x
    x = 455,430.45/763.69
  6. Step 6: Final answer
    x = 596.36

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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.