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Finding the Fourth Proportional to 779.74, 1,170 and 519.92

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Solution

The fourth proportional to 779.74, 1,170 and 519.92 is: 780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.74 : 1,170 = 519.92 : x
  2. Step 2: Convert to fraction form
    779.74/1,170 = 519.92/x
  3. Step 3: Cross multiply
    779.74x = 1,170 × 519.92
  4. Step 4: Simplify right side
    779.74x = 608,306.40
  5. Step 5: Solve for x
    x = 608,306.40/779.74
  6. Step 6: Final answer
    x = 780.14

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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.