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Finding the Fourth Proportional to 949.40, 1,422.66 and 462.32

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Solution

The fourth proportional to 949.40, 1,422.66 and 462.32 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.40 : 1,422.66 = 462.32 : x
  2. Step 2: Convert to fraction form
    949.40/1,422.66 = 462.32/x
  3. Step 3: Cross multiply
    949.40x = 1,422.66 × 462.32
  4. Step 4: Simplify right side
    949.40x = 657,724.17
  5. Step 5: Solve for x
    x = 657,724.17/949.40
  6. Step 6: Final answer
    x = 692.78

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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.