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Finding the Fourth Proportional to 949.48, 1,422.15 and 461.50

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Solution

The fourth proportional to 949.48, 1,422.15 and 461.50 is: 691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.48 : 1,422.15 = 461.50 : x
  2. Step 2: Convert to fraction form
    949.48/1,422.15 = 461.50/x
  3. Step 3: Cross multiply
    949.48x = 1,422.15 × 461.50
  4. Step 4: Simplify right side
    949.48x = 656,322.23
  5. Step 5: Solve for x
    x = 656,322.23/949.48
  6. Step 6: Final answer
    x = 691.24

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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.