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Finding the Fourth Proportional to 1,380.94, 1,905.60 and 876.76

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Solution

The fourth proportional to 1,380.94, 1,905.60 and 876.76 is: 1,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.94 : 1,905.60 = 876.76 : x
  2. Step 2: Convert to fraction form
    1,380.94/1,905.60 = 876.76/x
  3. Step 3: Cross multiply
    1,380.94x = 1,905.60 × 876.76
  4. Step 4: Simplify right side
    1,380.94x = 1,670,746.90
  5. Step 5: Solve for x
    x = 1,670,746.90/1,380.94
  6. Step 6: Final answer
    x = 1,209.86

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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.