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Finding the Fourth Proportional to 778.65, 1,074.54 and 429.34

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Solution

The fourth proportional to 778.65, 1,074.54 and 429.34 is: 592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.65 : 1,074.54 = 429.34 : x
  2. Step 2: Convert to fraction form
    778.65/1,074.54 = 429.34/x
  3. Step 3: Cross multiply
    778.65x = 1,074.54 × 429.34
  4. Step 4: Simplify right side
    778.65x = 461,337.63
  5. Step 5: Solve for x
    x = 461,337.63/778.65
  6. Step 6: Final answer
    x = 592.48

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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.