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Finding the Fourth Proportional to 968.22, 1,444.30 and 875.88

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Solution

The fourth proportional to 968.22, 1,444.30 and 875.88 is: 1,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.22 : 1,444.30 = 875.88 : x
  2. Step 2: Convert to fraction form
    968.22/1,444.30 = 875.88/x
  3. Step 3: Cross multiply
    968.22x = 1,444.30 × 875.88
  4. Step 4: Simplify right side
    968.22x = 1,265,031.29
  5. Step 5: Solve for x
    x = 1,265,031.29/968.22
  6. Step 6: Final answer
    x = 1,306.55

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