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Finding the Fourth Proportional to 1,176.68, 1,772.89 and 1,065.65

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Solution

The fourth proportional to 1,176.68, 1,772.89 and 1,065.65 is: 1,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.68 : 1,772.89 = 1,065.65 : x
  2. Step 2: Convert to fraction form
    1,176.68/1,772.89 = 1,065.65/x
  3. Step 3: Cross multiply
    1,176.68x = 1,772.89 × 1,065.65
  4. Step 4: Simplify right side
    1,176.68x = 1,889,268.70
  5. Step 5: Solve for x
    x = 1,889,268.70/1,176.68
  6. Step 6: Final answer
    x = 1,605.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.