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Finding the Fourth Proportional to 974.86, 1,460.92 and 731.11

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Solution

The fourth proportional to 974.86, 1,460.92 and 731.11 is: 1,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.86 : 1,460.92 = 731.11 : x
  2. Step 2: Convert to fraction form
    974.86/1,460.92 = 731.11/x
  3. Step 3: Cross multiply
    974.86x = 1,460.92 × 731.11
  4. Step 4: Simplify right side
    974.86x = 1,068,093.22
  5. Step 5: Solve for x
    x = 1,068,093.22/974.86
  6. Step 6: Final answer
    x = 1,095.64

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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.