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Finding the Fourth Proportional to 850.79, 1,275.66 and 778.28

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Solution

The fourth proportional to 850.79, 1,275.66 and 778.28 is: 1,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.79 : 1,275.66 = 778.28 : x
  2. Step 2: Convert to fraction form
    850.79/1,275.66 = 778.28/x
  3. Step 3: Cross multiply
    850.79x = 1,275.66 × 778.28
  4. Step 4: Simplify right side
    850.79x = 992,814.29
  5. Step 5: Solve for x
    x = 992,814.29/850.79
  6. Step 6: Final answer
    x = 1,166.93

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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.