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Finding the Fourth Proportional to 1,179.38, 1,765.94 and 974.86

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Solution

The fourth proportional to 1,179.38, 1,765.94 and 974.86 is: 1,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.38 : 1,765.94 = 974.86 : x
  2. Step 2: Convert to fraction form
    1,179.38/1,765.94 = 974.86/x
  3. Step 3: Cross multiply
    1,179.38x = 1,765.94 × 974.86
  4. Step 4: Simplify right side
    1,179.38x = 1,721,534.98
  5. Step 5: Solve for x
    x = 1,721,534.98/1,179.38
  6. Step 6: Final answer
    x = 1,459.69

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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.