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Finding the Fourth Proportional to 1,538.08, 2,307.48 and 498.08

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Solution

The fourth proportional to 1,538.08, 2,307.48 and 498.08 is: 747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.08 : 2,307.48 = 498.08 : x
  2. Step 2: Convert to fraction form
    1,538.08/2,307.48 = 498.08/x
  3. Step 3: Cross multiply
    1,538.08x = 2,307.48 × 498.08
  4. Step 4: Simplify right side
    1,538.08x = 1,149,306.75
  5. Step 5: Solve for x
    x = 1,149,306.75/1,538.08
  6. Step 6: Final answer
    x = 747.24

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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.