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Finding the Fourth Proportional to 1,200.65, 1,656.78 and 886.09

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Solution

The fourth proportional to 1,200.65, 1,656.78 and 886.09 is: 1,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.65 : 1,656.78 = 886.09 : x
  2. Step 2: Convert to fraction form
    1,200.65/1,656.78 = 886.09/x
  3. Step 3: Cross multiply
    1,200.65x = 1,656.78 × 886.09
  4. Step 4: Simplify right side
    1,200.65x = 1,468,050.60
  5. Step 5: Solve for x
    x = 1,468,050.60/1,200.65
  6. Step 6: Final answer
    x = 1,222.71

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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.