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Finding the Fourth Proportional to 715.76, 1,067.14 and 633.20

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Solution

The fourth proportional to 715.76, 1,067.14 and 633.20 is: 944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 1,067.14 = 633.20 : x
  2. Step 2: Convert to fraction form
    715.76/1,067.14 = 633.20/x
  3. Step 3: Cross multiply
    715.76x = 1,067.14 × 633.20
  4. Step 4: Simplify right side
    715.76x = 675,713.05
  5. Step 5: Solve for x
    x = 675,713.05/715.76
  6. Step 6: Final answer
    x = 944.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.