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Finding the Fourth Proportional to 782.38, 1,079.76 and 520.48

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Solution

The fourth proportional to 782.38, 1,079.76 and 520.48 is: 718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.38 : 1,079.76 = 520.48 : x
  2. Step 2: Convert to fraction form
    782.38/1,079.76 = 520.48/x
  3. Step 3: Cross multiply
    782.38x = 1,079.76 × 520.48
  4. Step 4: Simplify right side
    782.38x = 561,993.48
  5. Step 5: Solve for x
    x = 561,993.48/782.38
  6. Step 6: Final answer
    x = 718.31

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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.