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Finding the Fourth Proportional to 976.84, 1,463.82 and 688.84

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Solution

The fourth proportional to 976.84, 1,463.82 and 688.84 is: 1,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.84 : 1,463.82 = 688.84 : x
  2. Step 2: Convert to fraction form
    976.84/1,463.82 = 688.84/x
  3. Step 3: Cross multiply
    976.84x = 1,463.82 × 688.84
  4. Step 4: Simplify right side
    976.84x = 1,008,337.77
  5. Step 5: Solve for x
    x = 1,008,337.77/976.84
  6. Step 6: Final answer
    x = 1,032.24

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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.