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Finding the Fourth Proportional to 968.16, 1,449.90 and 875.82

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Solution

The fourth proportional to 968.16, 1,449.90 and 875.82 is: 1,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.16 : 1,449.90 = 875.82 : x
  2. Step 2: Convert to fraction form
    968.16/1,449.90 = 875.82/x
  3. Step 3: Cross multiply
    968.16x = 1,449.90 × 875.82
  4. Step 4: Simplify right side
    968.16x = 1,269,851.42
  5. Step 5: Solve for x
    x = 1,269,851.42/968.16
  6. Step 6: Final answer
    x = 1,311.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.