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Finding the Fourth Proportional to 1,190.52, 1,644.48 and 876.42

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Solution

The fourth proportional to 1,190.52, 1,644.48 and 876.42 is: 1,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.52 : 1,644.48 = 876.42 : x
  2. Step 2: Convert to fraction form
    1,190.52/1,644.48 = 876.42/x
  3. Step 3: Cross multiply
    1,190.52x = 1,644.48 × 876.42
  4. Step 4: Simplify right side
    1,190.52x = 1,441,255.16
  5. Step 5: Solve for x
    x = 1,441,255.16/1,190.52
  6. Step 6: Final answer
    x = 1,210.61

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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.