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Finding the Fourth Proportional to 1,166.09, 1,747.55 and 618.66

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Solution

The fourth proportional to 1,166.09, 1,747.55 and 618.66 is: 927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.09 : 1,747.55 = 618.66 : x
  2. Step 2: Convert to fraction form
    1,166.09/1,747.55 = 618.66/x
  3. Step 3: Cross multiply
    1,166.09x = 1,747.55 × 618.66
  4. Step 4: Simplify right side
    1,166.09x = 1,081,140.83
  5. Step 5: Solve for x
    x = 1,081,140.83/1,166.09
  6. Step 6: Final answer
    x = 927.15

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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.