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Finding the Fourth Proportional to 1,082.92, 1,624.53 and 498.10

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Solution

The fourth proportional to 1,082.92, 1,624.53 and 498.10 is: 747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.92 : 1,624.53 = 498.10 : x
  2. Step 2: Convert to fraction form
    1,082.92/1,624.53 = 498.10/x
  3. Step 3: Cross multiply
    1,082.92x = 1,624.53 × 498.10
  4. Step 4: Simplify right side
    1,082.92x = 809,178.39
  5. Step 5: Solve for x
    x = 809,178.39/1,082.92
  6. Step 6: Final answer
    x = 747.22

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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.