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Finding the Fourth Proportional to 1,248.20, 1,874.10 and 942.20

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Solution

The fourth proportional to 1,248.20, 1,874.10 and 942.20 is: 1,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.20 : 1,874.10 = 942.20 : x
  2. Step 2: Convert to fraction form
    1,248.20/1,874.10 = 942.20/x
  3. Step 3: Cross multiply
    1,248.20x = 1,874.10 × 942.20
  4. Step 4: Simplify right side
    1,248.20x = 1,765,777.02
  5. Step 5: Solve for x
    x = 1,765,777.02/1,248.20
  6. Step 6: Final answer
    x = 1,414.66

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1.5x scale

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.