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Finding the Fourth Proportional to 986.24, 1,478.31 and 934.97

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Solution

The fourth proportional to 986.24, 1,478.31 and 934.97 is: 1,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.24 : 1,478.31 = 934.97 : x
  2. Step 2: Convert to fraction form
    986.24/1,478.31 = 934.97/x
  3. Step 3: Cross multiply
    986.24x = 1,478.31 × 934.97
  4. Step 4: Simplify right side
    986.24x = 1,382,168.11
  5. Step 5: Solve for x
    x = 1,382,168.11/986.24
  6. Step 6: Final answer
    x = 1,401.46

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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.