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Finding the Fourth Proportional to 1,077.75, 1,487.00 and 635.55

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Solution

The fourth proportional to 1,077.75, 1,487.00 and 635.55 is: 876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.75 : 1,487.00 = 635.55 : x
  2. Step 2: Convert to fraction form
    1,077.75/1,487.00 = 635.55/x
  3. Step 3: Cross multiply
    1,077.75x = 1,487.00 × 635.55
  4. Step 4: Simplify right side
    1,077.75x = 945,059.67
  5. Step 5: Solve for x
    x = 945,059.67/1,077.75
  6. Step 6: Final answer
    x = 876.88

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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.