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Finding the Fourth Proportional to 1,468.75, 2,202.60 and 688.62

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Solution

The fourth proportional to 1,468.75, 2,202.60 and 688.62 is: 1,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.75 : 2,202.60 = 688.62 : x
  2. Step 2: Convert to fraction form
    1,468.75/2,202.60 = 688.62/x
  3. Step 3: Cross multiply
    1,468.75x = 2,202.60 × 688.62
  4. Step 4: Simplify right side
    1,468.75x = 1,516,754.41
  5. Step 5: Solve for x
    x = 1,516,754.41/1,468.75
  6. Step 6: Final answer
    x = 1,032.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.