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Finding the Fourth Proportional to 974.98, 1,461.12 and 699.85

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Solution

The fourth proportional to 974.98, 1,461.12 and 699.85 is: 1,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.98 : 1,461.12 = 699.85 : x
  2. Step 2: Convert to fraction form
    974.98/1,461.12 = 699.85/x
  3. Step 3: Cross multiply
    974.98x = 1,461.12 × 699.85
  4. Step 4: Simplify right side
    974.98x = 1,022,564.83
  5. Step 5: Solve for x
    x = 1,022,564.83/974.98
  6. Step 6: Final answer
    x = 1,048.81

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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.