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Finding the Fourth Proportional to 795.28, 1,191 and 708.88

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Solution

The fourth proportional to 795.28, 1,191 and 708.88 is: 1,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.28 : 1,191 = 708.88 : x
  2. Step 2: Convert to fraction form
    795.28/1,191 = 708.88/x
  3. Step 3: Cross multiply
    795.28x = 1,191 × 708.88
  4. Step 4: Simplify right side
    795.28x = 844,276.08
  5. Step 5: Solve for x
    x = 844,276.08/795.28
  6. Step 6: Final answer
    x = 1,061.61

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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.