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Finding the Fourth Proportional to 976.89, 1,463.71 and 687.72

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Solution

The fourth proportional to 976.89, 1,463.71 and 687.72 is: 1,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.89 : 1,463.71 = 687.72 : x
  2. Step 2: Convert to fraction form
    976.89/1,463.71 = 687.72/x
  3. Step 3: Cross multiply
    976.89x = 1,463.71 × 687.72
  4. Step 4: Simplify right side
    976.89x = 1,006,622.64
  5. Step 5: Solve for x
    x = 1,006,622.64/976.89
  6. Step 6: Final answer
    x = 1,030.44

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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.