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Finding the Fourth Proportional to 1,539.74, 2,310.62 and 565.85

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Solution

The fourth proportional to 1,539.74, 2,310.62 and 565.85 is: 849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.74 : 2,310.62 = 565.85 : x
  2. Step 2: Convert to fraction form
    1,539.74/2,310.62 = 565.85/x
  3. Step 3: Cross multiply
    1,539.74x = 2,310.62 × 565.85
  4. Step 4: Simplify right side
    1,539.74x = 1,307,449.94
  5. Step 5: Solve for x
    x = 1,307,449.94/1,539.74
  6. Step 6: Final answer
    x = 849.14

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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.