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Finding the Fourth Proportional to 1,217.82, 1,825.43 and 801.20

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Solution

The fourth proportional to 1,217.82, 1,825.43 and 801.20 is: 1,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.82 : 1,825.43 = 801.20 : x
  2. Step 2: Convert to fraction form
    1,217.82/1,825.43 = 801.20/x
  3. Step 3: Cross multiply
    1,217.82x = 1,825.43 × 801.20
  4. Step 4: Simplify right side
    1,217.82x = 1,462,521.38
  5. Step 5: Solve for x
    x = 1,462,521.38/1,217.82
  6. Step 6: Final answer
    x = 1,200.93

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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.