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Finding the Fourth Proportional to 1,108.37, 1,527.71 and 951.17

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Solution

The fourth proportional to 1,108.37, 1,527.71 and 951.17 is: 1,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.37 : 1,527.71 = 951.17 : x
  2. Step 2: Convert to fraction form
    1,108.37/1,527.71 = 951.17/x
  3. Step 3: Cross multiply
    1,108.37x = 1,527.71 × 951.17
  4. Step 4: Simplify right side
    1,108.37x = 1,453,099.53
  5. Step 5: Solve for x
    x = 1,453,099.53/1,108.37
  6. Step 6: Final answer
    x = 1,311.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.