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Finding the Fourth Proportional to 1,233.25, 1,850.16 and 463.75

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Solution

The fourth proportional to 1,233.25, 1,850.16 and 463.75 is: 695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.25 : 1,850.16 = 463.75 : x
  2. Step 2: Convert to fraction form
    1,233.25/1,850.16 = 463.75/x
  3. Step 3: Cross multiply
    1,233.25x = 1,850.16 × 463.75
  4. Step 4: Simplify right side
    1,233.25x = 858,011.70
  5. Step 5: Solve for x
    x = 858,011.70/1,233.25
  6. Step 6: Final answer
    x = 695.73

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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.