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Finding the Fourth Proportional to 1,463.52, 2,195.34 and 814.32

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Solution

The fourth proportional to 1,463.52, 2,195.34 and 814.32 is: 1,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.52 : 2,195.34 = 814.32 : x
  2. Step 2: Convert to fraction form
    1,463.52/2,195.34 = 814.32/x
  3. Step 3: Cross multiply
    1,463.52x = 2,195.34 × 814.32
  4. Step 4: Simplify right side
    1,463.52x = 1,787,709.27
  5. Step 5: Solve for x
    x = 1,787,709.27/1,463.52
  6. Step 6: Final answer
    x = 1,221.51

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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.