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Finding the Fourth Proportional to 778.50, 1,074.33 and 429.19

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Solution

The fourth proportional to 778.50, 1,074.33 and 429.19 is: 592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.50 : 1,074.33 = 429.19 : x
  2. Step 2: Convert to fraction form
    778.50/1,074.33 = 429.19/x
  3. Step 3: Cross multiply
    778.50x = 1,074.33 × 429.19
  4. Step 4: Simplify right side
    778.50x = 461,089.01
  5. Step 5: Solve for x
    x = 461,089.01/778.50
  6. Step 6: Final answer
    x = 592.28

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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.