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Finding the Fourth Proportional to 1,538.99, 2,308.11 and 565.17

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Solution

The fourth proportional to 1,538.99, 2,308.11 and 565.17 is: 847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.99 : 2,308.11 = 565.17 : x
  2. Step 2: Convert to fraction form
    1,538.99/2,308.11 = 565.17/x
  3. Step 3: Cross multiply
    1,538.99x = 2,308.11 × 565.17
  4. Step 4: Simplify right side
    1,538.99x = 1,304,474.53
  5. Step 5: Solve for x
    x = 1,304,474.53/1,538.99
  6. Step 6: Final answer
    x = 847.62

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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.