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Finding the Fourth Proportional to 1,538.56, 2,309.04 and 565.36

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Solution

The fourth proportional to 1,538.56, 2,309.04 and 565.36 is: 848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.56 : 2,309.04 = 565.36 : x
  2. Step 2: Convert to fraction form
    1,538.56/2,309.04 = 565.36/x
  3. Step 3: Cross multiply
    1,538.56x = 2,309.04 × 565.36
  4. Step 4: Simplify right side
    1,538.56x = 1,305,438.85
  5. Step 5: Solve for x
    x = 1,305,438.85/1,538.56
  6. Step 6: Final answer
    x = 848.48

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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.