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Finding the Fourth Proportional to 1,244.20, 1,865.04 and 422.20

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Solution

The fourth proportional to 1,244.20, 1,865.04 and 422.20 is: 632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.20 : 1,865.04 = 422.20 : x
  2. Step 2: Convert to fraction form
    1,244.20/1,865.04 = 422.20/x
  3. Step 3: Cross multiply
    1,244.20x = 1,865.04 × 422.20
  4. Step 4: Simplify right side
    1,244.20x = 787,419.89
  5. Step 5: Solve for x
    x = 787,419.89/1,244.20
  6. Step 6: Final answer
    x = 632.87

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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.