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Finding the Fourth Proportional to 782.50, 1,079.85 and 433.21

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Solution

The fourth proportional to 782.50, 1,079.85 and 433.21 is: 597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.50 : 1,079.85 = 433.21 : x
  2. Step 2: Convert to fraction form
    782.50/1,079.85 = 433.21/x
  3. Step 3: Cross multiply
    782.50x = 1,079.85 × 433.21
  4. Step 4: Simplify right side
    782.50x = 467,801.82
  5. Step 5: Solve for x
    x = 467,801.82/782.50
  6. Step 6: Final answer
    x = 597.83

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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.