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Finding the Fourth Proportional to 782.09, 1,079.27 and 432.78

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Solution

The fourth proportional to 782.09, 1,079.27 and 432.78 is: 597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.09 : 1,079.27 = 432.78 : x
  2. Step 2: Convert to fraction form
    782.09/1,079.27 = 432.78/x
  3. Step 3: Cross multiply
    782.09x = 1,079.27 × 432.78
  4. Step 4: Simplify right side
    782.09x = 467,084.31
  5. Step 5: Solve for x
    x = 467,084.31/782.09
  6. Step 6: Final answer
    x = 597.23

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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.