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Finding the Fourth Proportional to 1,082.50, 1,624.47 and 398.50

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Solution

The fourth proportional to 1,082.50, 1,624.47 and 398.50 is: 598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.50 : 1,624.47 = 398.50 : x
  2. Step 2: Convert to fraction form
    1,082.50/1,624.47 = 398.50/x
  3. Step 3: Cross multiply
    1,082.50x = 1,624.47 × 398.50
  4. Step 4: Simplify right side
    1,082.50x = 647,351.30
  5. Step 5: Solve for x
    x = 647,351.30/1,082.50
  6. Step 6: Final answer
    x = 598.02

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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.