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Finding the Fourth Proportional to 778.65, 1,074.84 and 592.17

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Solution

The fourth proportional to 778.65, 1,074.84 and 592.17 is: 817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.65 : 1,074.84 = 592.17 : x
  2. Step 2: Convert to fraction form
    778.65/1,074.84 = 592.17/x
  3. Step 3: Cross multiply
    778.65x = 1,074.84 × 592.17
  4. Step 4: Simplify right side
    778.65x = 636,488.00
  5. Step 5: Solve for x
    x = 636,488.00/778.65
  6. Step 6: Final answer
    x = 817.43

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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.