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Finding the Fourth Proportional to 976.08, 1,464.12 and 689.88

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Solution

The fourth proportional to 976.08, 1,464.12 and 689.88 is: 1,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.08 : 1,464.12 = 689.88 : x
  2. Step 2: Convert to fraction form
    976.08/1,464.12 = 689.88/x
  3. Step 3: Cross multiply
    976.08x = 1,464.12 × 689.88
  4. Step 4: Simplify right side
    976.08x = 1,010,067.11
  5. Step 5: Solve for x
    x = 1,010,067.11/976.08
  6. Step 6: Final answer
    x = 1,034.82

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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.