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Finding the Fourth Proportional to 1,538.40, 2,308.02 and 498.45

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Solution

The fourth proportional to 1,538.40, 2,308.02 and 498.45 is: 747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.40 : 2,308.02 = 498.45 : x
  2. Step 2: Convert to fraction form
    1,538.40/2,308.02 = 498.45/x
  3. Step 3: Cross multiply
    1,538.40x = 2,308.02 × 498.45
  4. Step 4: Simplify right side
    1,538.40x = 1,150,432.57
  5. Step 5: Solve for x
    x = 1,150,432.57/1,538.40
  6. Step 6: Final answer
    x = 747.81

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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.