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Finding the Fourth Proportional to 974.70, 1,462.86 and 872.64

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Solution

The fourth proportional to 974.70, 1,462.86 and 872.64 is: 1,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.70 : 1,462.86 = 872.64 : x
  2. Step 2: Convert to fraction form
    974.70/1,462.86 = 872.64/x
  3. Step 3: Cross multiply
    974.70x = 1,462.86 × 872.64
  4. Step 4: Simplify right side
    974.70x = 1,276,550.15
  5. Step 5: Solve for x
    x = 1,276,550.15/974.70
  6. Step 6: Final answer
    x = 1,309.69

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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.