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Finding the Fourth Proportional to 1,652.28, 2,478.78 and 498

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Solution

The fourth proportional to 1,652.28, 2,478.78 and 498 is: 747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.28 : 2,478.78 = 498 : x
  2. Step 2: Convert to fraction form
    1,652.28/2,478.78 = 498/x
  3. Step 3: Cross multiply
    1,652.28x = 2,478.78 × 498
  4. Step 4: Simplify right side
    1,652.28x = 1,234,432.44
  5. Step 5: Solve for x
    x = 1,234,432.44/1,652.28
  6. Step 6: Final answer
    x = 747.11

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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.