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Finding the Fourth Proportional to 974.18, 1,458.86 and 892.24

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Solution

The fourth proportional to 974.18, 1,458.86 and 892.24 is: 1,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.18 : 1,458.86 = 892.24 : x
  2. Step 2: Convert to fraction form
    974.18/1,458.86 = 892.24/x
  3. Step 3: Cross multiply
    974.18x = 1,458.86 × 892.24
  4. Step 4: Simplify right side
    974.18x = 1,301,653.25
  5. Step 5: Solve for x
    x = 1,301,653.25/974.18
  6. Step 6: Final answer
    x = 1,336.15

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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.