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Finding the Fourth Proportional to 778.64, 1,074.53 and 429.35

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Solution

The fourth proportional to 778.64, 1,074.53 and 429.35 is: 592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.64 : 1,074.53 = 429.35 : x
  2. Step 2: Convert to fraction form
    778.64/1,074.53 = 429.35/x
  3. Step 3: Cross multiply
    778.64x = 1,074.53 × 429.35
  4. Step 4: Simplify right side
    778.64x = 461,349.46
  5. Step 5: Solve for x
    x = 461,349.46/778.64
  6. Step 6: Final answer
    x = 592.51

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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.