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Finding the Fourth Proportional to 1,464.47, 2,020.94 and 801.30

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Solution

The fourth proportional to 1,464.47, 2,020.94 and 801.30 is: 1,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.47 : 2,020.94 = 801.30 : x
  2. Step 2: Convert to fraction form
    1,464.47/2,020.94 = 801.30/x
  3. Step 3: Cross multiply
    1,464.47x = 2,020.94 × 801.30
  4. Step 4: Simplify right side
    1,464.47x = 1,619,375.22
  5. Step 5: Solve for x
    x = 1,619,375.22/1,464.47
  6. Step 6: Final answer
    x = 1,105.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.