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Finding the Fourth Proportional to 976.56, 1,463.19 and 591

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Solution

The fourth proportional to 976.56, 1,463.19 and 591 is: 885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.56 : 1,463.19 = 591 : x
  2. Step 2: Convert to fraction form
    976.56/1,463.19 = 591/x
  3. Step 3: Cross multiply
    976.56x = 1,463.19 × 591
  4. Step 4: Simplify right side
    976.56x = 864,745.29
  5. Step 5: Solve for x
    x = 864,745.29/976.56
  6. Step 6: Final answer
    x = 885.50

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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.