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Finding the Fourth Proportional to 1,104.89, 1,658.12 and 519.92

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Solution

The fourth proportional to 1,104.89, 1,658.12 and 519.92 is: 780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.89 : 1,658.12 = 519.92 : x
  2. Step 2: Convert to fraction form
    1,104.89/1,658.12 = 519.92/x
  3. Step 3: Cross multiply
    1,104.89x = 1,658.12 × 519.92
  4. Step 4: Simplify right side
    1,104.89x = 862,085.08
  5. Step 5: Solve for x
    x = 862,085.08/1,104.89
  6. Step 6: Final answer
    x = 780.25

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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.