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Finding the Fourth Proportional to 759.89, 1,048.82 and 635.34

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Solution

The fourth proportional to 759.89, 1,048.82 and 635.34 is: 876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.89 : 1,048.82 = 635.34 : x
  2. Step 2: Convert to fraction form
    759.89/1,048.82 = 635.34/x
  3. Step 3: Cross multiply
    759.89x = 1,048.82 × 635.34
  4. Step 4: Simplify right side
    759.89x = 666,353.64
  5. Step 5: Solve for x
    x = 666,353.64/759.89
  6. Step 6: Final answer
    x = 876.91

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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.