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Finding the Fourth Proportional to 1,082.80, 1,624.20 and 902.80

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Solution

The fourth proportional to 1,082.80, 1,624.20 and 902.80 is: 1,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.80 : 1,624.20 = 902.80 : x
  2. Step 2: Convert to fraction form
    1,082.80/1,624.20 = 902.80/x
  3. Step 3: Cross multiply
    1,082.80x = 1,624.20 × 902.80
  4. Step 4: Simplify right side
    1,082.80x = 1,466,327.76
  5. Step 5: Solve for x
    x = 1,466,327.76/1,082.80
  6. Step 6: Final answer
    x = 1,354.20

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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.