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Finding the Fourth Proportional to 908.20, 1,362.30 and 498.15

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Solution

The fourth proportional to 908.20, 1,362.30 and 498.15 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.20 : 1,362.30 = 498.15 : x
  2. Step 2: Convert to fraction form
    908.20/1,362.30 = 498.15/x
  3. Step 3: Cross multiply
    908.20x = 1,362.30 × 498.15
  4. Step 4: Simplify right side
    908.20x = 678,629.75
  5. Step 5: Solve for x
    x = 678,629.75/908.20
  6. Step 6: Final answer
    x = 747.23

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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.