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Finding the Fourth Proportional to 782.52, 1,080.24 and 596.04

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Solution

The fourth proportional to 782.52, 1,080.24 and 596.04 is: 822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.52 : 1,080.24 = 596.04 : x
  2. Step 2: Convert to fraction form
    782.52/1,080.24 = 596.04/x
  3. Step 3: Cross multiply
    782.52x = 1,080.24 × 596.04
  4. Step 4: Simplify right side
    782.52x = 643,866.25
  5. Step 5: Solve for x
    x = 643,866.25/782.52
  6. Step 6: Final answer
    x = 822.81

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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.