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Finding the Fourth Proportional to 1,468.08, 2,200.89 and 687.69

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Solution

The fourth proportional to 1,468.08, 2,200.89 and 687.69 is: 1,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.08 : 2,200.89 = 687.69 : x
  2. Step 2: Convert to fraction form
    1,468.08/2,200.89 = 687.69/x
  3. Step 3: Cross multiply
    1,468.08x = 2,200.89 × 687.69
  4. Step 4: Simplify right side
    1,468.08x = 1,513,530.04
  5. Step 5: Solve for x
    x = 1,513,530.04/1,468.08
  6. Step 6: Final answer
    x = 1,030.96

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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.