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Finding the Fourth Proportional to 778.24, 1,162.91 and 592.12

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Solution

The fourth proportional to 778.24, 1,162.91 and 592.12 is: 884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.24 : 1,162.91 = 592.12 : x
  2. Step 2: Convert to fraction form
    778.24/1,162.91 = 592.12/x
  3. Step 3: Cross multiply
    778.24x = 1,162.91 × 592.12
  4. Step 4: Simplify right side
    778.24x = 688,582.27
  5. Step 5: Solve for x
    x = 688,582.27/778.24
  6. Step 6: Final answer
    x = 884.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.