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Finding the Fourth Proportional to 1,550.66, 2,326.39 and 770.63

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Solution

The fourth proportional to 1,550.66, 2,326.39 and 770.63 is: 1,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.66 : 2,326.39 = 770.63 : x
  2. Step 2: Convert to fraction form
    1,550.66/2,326.39 = 770.63/x
  3. Step 3: Cross multiply
    1,550.66x = 2,326.39 × 770.63
  4. Step 4: Simplify right side
    1,550.66x = 1,792,785.93
  5. Step 5: Solve for x
    x = 1,792,785.93/1,550.66
  6. Step 6: Final answer
    x = 1,156.14

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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.