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Finding the Fourth Proportional to 1,243.66, 1,715.82 and 746.46

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Solution

The fourth proportional to 1,243.66, 1,715.82 and 746.46 is: 1,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.66 : 1,715.82 = 746.46 : x
  2. Step 2: Convert to fraction form
    1,243.66/1,715.82 = 746.46/x
  3. Step 3: Cross multiply
    1,243.66x = 1,715.82 × 746.46
  4. Step 4: Simplify right side
    1,243.66x = 1,280,791.00
  5. Step 5: Solve for x
    x = 1,280,791.00/1,243.66
  6. Step 6: Final answer
    x = 1,029.86

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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.