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Finding the Fourth Proportional to 1,077.90, 1,487.28 and 635.50

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Solution

The fourth proportional to 1,077.90, 1,487.28 and 635.50 is: 876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.90 : 1,487.28 = 635.50 : x
  2. Step 2: Convert to fraction form
    1,077.90/1,487.28 = 635.50/x
  3. Step 3: Cross multiply
    1,077.90x = 1,487.28 × 635.50
  4. Step 4: Simplify right side
    1,077.90x = 945,166.44
  5. Step 5: Solve for x
    x = 945,166.44/1,077.90
  6. Step 6: Final answer
    x = 876.86

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Why These Related Problems?

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