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Finding the Fourth Proportional to 948.88, 1,422.96 and 461.80

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Solution

The fourth proportional to 948.88, 1,422.96 and 461.80 is: 692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.88 : 1,422.96 = 461.80 : x
  2. Step 2: Convert to fraction form
    948.88/1,422.96 = 461.80/x
  3. Step 3: Cross multiply
    948.88x = 1,422.96 × 461.80
  4. Step 4: Simplify right side
    948.88x = 657,122.93
  5. Step 5: Solve for x
    x = 657,122.93/948.88
  6. Step 6: Final answer
    x = 692.52

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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.