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Finding the Fourth Proportional to 1,067.40, 1,602.30 and 634.80

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Solution

The fourth proportional to 1,067.40, 1,602.30 and 634.80 is: 952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.40 : 1,602.30 = 634.80 : x
  2. Step 2: Convert to fraction form
    1,067.40/1,602.30 = 634.80/x
  3. Step 3: Cross multiply
    1,067.40x = 1,602.30 × 634.80
  4. Step 4: Simplify right side
    1,067.40x = 1,017,140.04
  5. Step 5: Solve for x
    x = 1,017,140.04/1,067.40
  6. Step 6: Final answer
    x = 952.91

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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.