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Finding the Fourth Proportional to 778.35, 1,074.12 and 429.04

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Solution

The fourth proportional to 778.35, 1,074.12 and 429.04 is: 592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.35 : 1,074.12 = 429.04 : x
  2. Step 2: Convert to fraction form
    778.35/1,074.12 = 429.04/x
  3. Step 3: Cross multiply
    778.35x = 1,074.12 × 429.04
  4. Step 4: Simplify right side
    778.35x = 460,836.15
  5. Step 5: Solve for x
    x = 460,836.15/778.35
  6. Step 6: Final answer
    x = 592.07

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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.