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Finding the Fourth Proportional to 779.52, 1,169.24 and 394.76

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Solution

The fourth proportional to 779.52, 1,169.24 and 394.76 is: 592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.52 : 1,169.24 = 394.76 : x
  2. Step 2: Convert to fraction form
    779.52/1,169.24 = 394.76/x
  3. Step 3: Cross multiply
    779.52x = 1,169.24 × 394.76
  4. Step 4: Simplify right side
    779.52x = 461,569.18
  5. Step 5: Solve for x
    x = 461,569.18/779.52
  6. Step 6: Final answer
    x = 592.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.