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Finding the Fourth Proportional to 778.50, 1,074.36 and 429.21

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Solution

The fourth proportional to 778.50, 1,074.36 and 429.21 is: 592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.50 : 1,074.36 = 429.21 : x
  2. Step 2: Convert to fraction form
    778.50/1,074.36 = 429.21/x
  3. Step 3: Cross multiply
    778.50x = 1,074.36 × 429.21
  4. Step 4: Simplify right side
    778.50x = 461,126.06
  5. Step 5: Solve for x
    x = 461,126.06/778.50
  6. Step 6: Final answer
    x = 592.33

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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.