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Finding the Fourth Proportional to 778.45, 1,074.24 and 429.13

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Solution

The fourth proportional to 778.45, 1,074.24 and 429.13 is: 592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.45 : 1,074.24 = 429.13 : x
  2. Step 2: Convert to fraction form
    778.45/1,074.24 = 429.13/x
  3. Step 3: Cross multiply
    778.45x = 1,074.24 × 429.13
  4. Step 4: Simplify right side
    778.45x = 460,988.61
  5. Step 5: Solve for x
    x = 460,988.61/778.45
  6. Step 6: Final answer
    x = 592.19

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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.