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Finding the Fourth Proportional to 886.76, 1,223.78 and 537.48

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Solution

The fourth proportional to 886.76, 1,223.78 and 537.48 is: 741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.76 : 1,223.78 = 537.48 : x
  2. Step 2: Convert to fraction form
    886.76/1,223.78 = 537.48/x
  3. Step 3: Cross multiply
    886.76x = 1,223.78 × 537.48
  4. Step 4: Simplify right side
    886.76x = 657,757.27
  5. Step 5: Solve for x
    x = 657,757.27/886.76
  6. Step 6: Final answer
    x = 741.75

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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.