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Finding the Fourth Proportional to 949.48, 1,422.30 and 461.08

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Solution

The fourth proportional to 949.48, 1,422.30 and 461.08 is: 690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.48 : 1,422.30 = 461.08 : x
  2. Step 2: Convert to fraction form
    949.48/1,422.30 = 461.08/x
  3. Step 3: Cross multiply
    949.48x = 1,422.30 × 461.08
  4. Step 4: Simplify right side
    949.48x = 655,794.08
  5. Step 5: Solve for x
    x = 655,794.08/949.48
  6. Step 6: Final answer
    x = 690.69

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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.