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Finding the Fourth Proportional to 1,228.65, 1,688.48 and 1,171.55

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Solution

The fourth proportional to 1,228.65, 1,688.48 and 1,171.55 is: 1,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.65 : 1,688.48 = 1,171.55 : x
  2. Step 2: Convert to fraction form
    1,228.65/1,688.48 = 1,171.55/x
  3. Step 3: Cross multiply
    1,228.65x = 1,688.48 × 1,171.55
  4. Step 4: Simplify right side
    1,228.65x = 1,978,124.44
  5. Step 5: Solve for x
    x = 1,978,124.44/1,228.65
  6. Step 6: Final answer
    x = 1,610.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.