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Finding the Fourth Proportional to 974.42, 1,451.78 and 927.98

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Solution

The fourth proportional to 974.42, 1,451.78 and 927.98 is: 1,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.42 : 1,451.78 = 927.98 : x
  2. Step 2: Convert to fraction form
    974.42/1,451.78 = 927.98/x
  3. Step 3: Cross multiply
    974.42x = 1,451.78 × 927.98
  4. Step 4: Simplify right side
    974.42x = 1,347,210.91
  5. Step 5: Solve for x
    x = 1,347,210.91/974.42
  6. Step 6: Final answer
    x = 1,382.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.