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Finding the Fourth Proportional to 794.19, 1,095.66 and 560.91

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Solution

The fourth proportional to 794.19, 1,095.66 and 560.91 is: 773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.19 : 1,095.66 = 560.91 : x
  2. Step 2: Convert to fraction form
    794.19/1,095.66 = 560.91/x
  3. Step 3: Cross multiply
    794.19x = 1,095.66 × 560.91
  4. Step 4: Simplify right side
    794.19x = 614,566.65
  5. Step 5: Solve for x
    x = 614,566.65/794.19
  6. Step 6: Final answer
    x = 773.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.