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Finding the Fourth Proportional to 1,537.32, 2,304.52 and 562.76

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Solution

The fourth proportional to 1,537.32, 2,304.52 and 562.76 is: 843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.32 : 2,304.52 = 562.76 : x
  2. Step 2: Convert to fraction form
    1,537.32/2,304.52 = 562.76/x
  3. Step 3: Cross multiply
    1,537.32x = 2,304.52 × 562.76
  4. Step 4: Simplify right side
    1,537.32x = 1,296,891.68
  5. Step 5: Solve for x
    x = 1,296,891.68/1,537.32
  6. Step 6: Final answer
    x = 843.61

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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.