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Finding the Fourth Proportional to 1,537.88, 2,306.81 and 498.75

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Solution

The fourth proportional to 1,537.88, 2,306.81 and 498.75 is: 748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.88 : 2,306.81 = 498.75 : x
  2. Step 2: Convert to fraction form
    1,537.88/2,306.81 = 498.75/x
  3. Step 3: Cross multiply
    1,537.88x = 2,306.81 × 498.75
  4. Step 4: Simplify right side
    1,537.88x = 1,150,514.08
  5. Step 5: Solve for x
    x = 1,150,514.08/1,537.88
  6. Step 6: Final answer
    x = 748.12

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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.