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Finding the Fourth Proportional to 935.87, 1,292.91 and 797.43

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Solution

The fourth proportional to 935.87, 1,292.91 and 797.43 is: 1,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.87 : 1,292.91 = 797.43 : x
  2. Step 2: Convert to fraction form
    935.87/1,292.91 = 797.43/x
  3. Step 3: Cross multiply
    935.87x = 1,292.91 × 797.43
  4. Step 4: Simplify right side
    935.87x = 1,031,005.22
  5. Step 5: Solve for x
    x = 1,031,005.22/935.87
  6. Step 6: Final answer
    x = 1,101.65

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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.