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Finding the Fourth Proportional to 985.68, 1,476.12 and 676.68

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Solution

The fourth proportional to 985.68, 1,476.12 and 676.68 is: 1,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.68 : 1,476.12 = 676.68 : x
  2. Step 2: Convert to fraction form
    985.68/1,476.12 = 676.68/x
  3. Step 3: Cross multiply
    985.68x = 1,476.12 × 676.68
  4. Step 4: Simplify right side
    985.68x = 998,860.88
  5. Step 5: Solve for x
    x = 998,860.88/985.68
  6. Step 6: Final answer
    x = 1,013.37

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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.