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Finding the Fourth Proportional to 1,468.52, 2,202.46 and 875.80

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Solution

The fourth proportional to 1,468.52, 2,202.46 and 875.80 is: 1,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.52 : 2,202.46 = 875.80 : x
  2. Step 2: Convert to fraction form
    1,468.52/2,202.46 = 875.80/x
  3. Step 3: Cross multiply
    1,468.52x = 2,202.46 × 875.80
  4. Step 4: Simplify right side
    1,468.52x = 1,928,914.47
  5. Step 5: Solve for x
    x = 1,928,914.47/1,468.52
  6. Step 6: Final answer
    x = 1,313.51

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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.