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Finding the Fourth Proportional to 931.98, 1,285.71 and 745.73

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Solution

The fourth proportional to 931.98, 1,285.71 and 745.73 is: 1,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.98 : 1,285.71 = 745.73 : x
  2. Step 2: Convert to fraction form
    931.98/1,285.71 = 745.73/x
  3. Step 3: Cross multiply
    931.98x = 1,285.71 × 745.73
  4. Step 4: Simplify right side
    931.98x = 958,782.36
  5. Step 5: Solve for x
    x = 958,782.36/931.98
  6. Step 6: Final answer
    x = 1,028.76

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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.