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Finding the Fourth Proportional to 1,168.96, 1,753.69 and 584.27

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Solution

The fourth proportional to 1,168.96, 1,753.69 and 584.27 is: 876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.96 : 1,753.69 = 584.27 : x
  2. Step 2: Convert to fraction form
    1,168.96/1,753.69 = 584.27/x
  3. Step 3: Cross multiply
    1,168.96x = 1,753.69 × 584.27
  4. Step 4: Simplify right side
    1,168.96x = 1,024,628.46
  5. Step 5: Solve for x
    x = 1,024,628.46/1,168.96
  6. Step 6: Final answer
    x = 876.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.