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Finding the Fourth Proportional to 1,449.64, 2,175.45 and 800.83

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Solution

The fourth proportional to 1,449.64, 2,175.45 and 800.83 is: 1,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.64 : 2,175.45 = 800.83 : x
  2. Step 2: Convert to fraction form
    1,449.64/2,175.45 = 800.83/x
  3. Step 3: Cross multiply
    1,449.64x = 2,175.45 × 800.83
  4. Step 4: Simplify right side
    1,449.64x = 1,742,165.62
  5. Step 5: Solve for x
    x = 1,742,165.62/1,449.64
  6. Step 6: Final answer
    x = 1,201.79

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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.