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Finding the Fourth Proportional to 782.53, 1,079.90 and 433.24

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Solution

The fourth proportional to 782.53, 1,079.90 and 433.24 is: 597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.53 : 1,079.90 = 433.24 : x
  2. Step 2: Convert to fraction form
    782.53/1,079.90 = 433.24/x
  3. Step 3: Cross multiply
    782.53x = 1,079.90 × 433.24
  4. Step 4: Simplify right side
    782.53x = 467,855.06
  5. Step 5: Solve for x
    x = 467,855.06/782.53
  6. Step 6: Final answer
    x = 597.87

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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.