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Finding the Fourth Proportional to 955.87, 1,432.33 and 461.75

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Solution

The fourth proportional to 955.87, 1,432.33 and 461.75 is: 691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.87 : 1,432.33 = 461.75 : x
  2. Step 2: Convert to fraction form
    955.87/1,432.33 = 461.75/x
  3. Step 3: Cross multiply
    955.87x = 1,432.33 × 461.75
  4. Step 4: Simplify right side
    955.87x = 661,370.06
  5. Step 5: Solve for x
    x = 661,370.06/955.87
  6. Step 6: Final answer
    x = 691.91

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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.