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Finding the Fourth Proportional to 974.64, 1,344.24 and 827.04

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Solution

The fourth proportional to 974.64, 1,344.24 and 827.04 is: 1,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.64 : 1,344.24 = 827.04 : x
  2. Step 2: Convert to fraction form
    974.64/1,344.24 = 827.04/x
  3. Step 3: Cross multiply
    974.64x = 1,344.24 × 827.04
  4. Step 4: Simplify right side
    974.64x = 1,111,740.25
  5. Step 5: Solve for x
    x = 1,111,740.25/974.64
  6. Step 6: Final answer
    x = 1,140.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.