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Finding the Fourth Proportional to 1,463.74, 2,195.58 and 423.70

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Solution

The fourth proportional to 1,463.74, 2,195.58 and 423.70 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.74 : 2,195.58 = 423.70 : x
  2. Step 2: Convert to fraction form
    1,463.74/2,195.58 = 423.70/x
  3. Step 3: Cross multiply
    1,463.74x = 2,195.58 × 423.70
  4. Step 4: Simplify right side
    1,463.74x = 930,267.25
  5. Step 5: Solve for x
    x = 930,267.25/1,463.74
  6. Step 6: Final answer
    x = 635.54

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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.