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Finding the Fourth Proportional to 891.65, 1,337.72 and 780.93

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Solution

The fourth proportional to 891.65, 1,337.72 and 780.93 is: 1,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.65 : 1,337.72 = 780.93 : x
  2. Step 2: Convert to fraction form
    891.65/1,337.72 = 780.93/x
  3. Step 3: Cross multiply
    891.65x = 1,337.72 × 780.93
  4. Step 4: Simplify right side
    891.65x = 1,044,659.69
  5. Step 5: Solve for x
    x = 1,044,659.69/891.65
  6. Step 6: Final answer
    x = 1,171.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.