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Finding the Fourth Proportional to 998.64, 1,373.76 and 958.68

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Solution

The fourth proportional to 998.64, 1,373.76 and 958.68 is: 1,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,373.76 = 958.68 : x
  2. Step 2: Convert to fraction form
    998.64/1,373.76 = 958.68/x
  3. Step 3: Cross multiply
    998.64x = 1,373.76 × 958.68
  4. Step 4: Simplify right side
    998.64x = 1,316,996.24
  5. Step 5: Solve for x
    x = 1,316,996.24/998.64
  6. Step 6: Final answer
    x = 1,318.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.