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Finding the Fourth Proportional to 782.14, 1,079.32 and 432.82

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Solution

The fourth proportional to 782.14, 1,079.32 and 432.82 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.14 : 1,079.32 = 432.82 : x
  2. Step 2: Convert to fraction form
    782.14/1,079.32 = 432.82/x
  3. Step 3: Cross multiply
    782.14x = 1,079.32 × 432.82
  4. Step 4: Simplify right side
    782.14x = 467,151.28
  5. Step 5: Solve for x
    x = 467,151.28/782.14
  6. Step 6: Final answer
    x = 597.27

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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.