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Finding the Fourth Proportional to 746.02, 1,117.38 and 727.66

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Solution

The fourth proportional to 746.02, 1,117.38 and 727.66 is: 1,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.02 : 1,117.38 = 727.66 : x
  2. Step 2: Convert to fraction form
    746.02/1,117.38 = 727.66/x
  3. Step 3: Cross multiply
    746.02x = 1,117.38 × 727.66
  4. Step 4: Simplify right side
    746.02x = 813,072.73
  5. Step 5: Solve for x
    x = 813,072.73/746.02
  6. Step 6: Final answer
    x = 1,089.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.