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Finding the Fourth Proportional to 968.95, 1,451.40 and 725.14

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Solution

The fourth proportional to 968.95, 1,451.40 and 725.14 is: 1,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.95 : 1,451.40 = 725.14 : x
  2. Step 2: Convert to fraction form
    968.95/1,451.40 = 725.14/x
  3. Step 3: Cross multiply
    968.95x = 1,451.40 × 725.14
  4. Step 4: Simplify right side
    968.95x = 1,052,468.20
  5. Step 5: Solve for x
    x = 1,052,468.20/968.95
  6. Step 6: Final answer
    x = 1,086.19

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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.