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Finding the Fourth Proportional to 778.52, 1,074.34 and 429.16

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Solution

The fourth proportional to 778.52, 1,074.34 and 429.16 is: 592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.52 : 1,074.34 = 429.16 : x
  2. Step 2: Convert to fraction form
    778.52/1,074.34 = 429.16/x
  3. Step 3: Cross multiply
    778.52x = 1,074.34 × 429.16
  4. Step 4: Simplify right side
    778.52x = 461,063.75
  5. Step 5: Solve for x
    x = 461,063.75/778.52
  6. Step 6: Final answer
    x = 592.23

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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.