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Finding the Fourth Proportional to 829.10, 1,242.03 and 503.66

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Solution

The fourth proportional to 829.10, 1,242.03 and 503.66 is: 754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.10 : 1,242.03 = 503.66 : x
  2. Step 2: Convert to fraction form
    829.10/1,242.03 = 503.66/x
  3. Step 3: Cross multiply
    829.10x = 1,242.03 × 503.66
  4. Step 4: Simplify right side
    829.10x = 625,560.83
  5. Step 5: Solve for x
    x = 625,560.83/829.10
  6. Step 6: Final answer
    x = 754.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.