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Finding the Fourth Proportional to 782.89, 1,079.40 and 502.66

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Solution

The fourth proportional to 782.89, 1,079.40 and 502.66 is: 693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.89 : 1,079.40 = 502.66 : x
  2. Step 2: Convert to fraction form
    782.89/1,079.40 = 502.66/x
  3. Step 3: Cross multiply
    782.89x = 1,079.40 × 502.66
  4. Step 4: Simplify right side
    782.89x = 542,571.20
  5. Step 5: Solve for x
    x = 542,571.20/782.89
  6. Step 6: Final answer
    x = 693.04

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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.