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Finding the Fourth Proportional to 1,483.97, 2,226.74 and 963.85

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Solution

The fourth proportional to 1,483.97, 2,226.74 and 963.85 is: 1,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.97 : 2,226.74 = 963.85 : x
  2. Step 2: Convert to fraction form
    1,483.97/2,226.74 = 963.85/x
  3. Step 3: Cross multiply
    1,483.97x = 2,226.74 × 963.85
  4. Step 4: Simplify right side
    1,483.97x = 2,146,232.22
  5. Step 5: Solve for x
    x = 2,146,232.22/1,483.97
  6. Step 6: Final answer
    x = 1,446.28

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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.