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Finding the Fourth Proportional to 779.62, 1,170.15 and 587.62

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Solution

The fourth proportional to 779.62, 1,170.15 and 587.62 is: 881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.62 : 1,170.15 = 587.62 : x
  2. Step 2: Convert to fraction form
    779.62/1,170.15 = 587.62/x
  3. Step 3: Cross multiply
    779.62x = 1,170.15 × 587.62
  4. Step 4: Simplify right side
    779.62x = 687,603.54
  5. Step 5: Solve for x
    x = 687,603.54/779.62
  6. Step 6: Final answer
    x = 881.97

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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.