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Finding the Fourth Proportional to 932.94, 1,393.01 and 795.92

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Solution

The fourth proportional to 932.94, 1,393.01 and 795.92 is: 1,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.94 : 1,393.01 = 795.92 : x
  2. Step 2: Convert to fraction form
    932.94/1,393.01 = 795.92/x
  3. Step 3: Cross multiply
    932.94x = 1,393.01 × 795.92
  4. Step 4: Simplify right side
    932.94x = 1,108,713.57
  5. Step 5: Solve for x
    x = 1,108,713.57/932.94
  6. Step 6: Final answer
    x = 1,188.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.