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Finding the Fourth Proportional to 763.97, 1,054.31 and 432.41

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Solution

The fourth proportional to 763.97, 1,054.31 and 432.41 is: 596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.97 : 1,054.31 = 432.41 : x
  2. Step 2: Convert to fraction form
    763.97/1,054.31 = 432.41/x
  3. Step 3: Cross multiply
    763.97x = 1,054.31 × 432.41
  4. Step 4: Simplify right side
    763.97x = 455,894.66
  5. Step 5: Solve for x
    x = 455,894.66/763.97
  6. Step 6: Final answer
    x = 596.74

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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.