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Finding the Fourth Proportional to 1,464.46, 2,021.02 and 801.40

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Solution

The fourth proportional to 1,464.46, 2,021.02 and 801.40 is: 1,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.46 : 2,021.02 = 801.40 : x
  2. Step 2: Convert to fraction form
    1,464.46/2,021.02 = 801.40/x
  3. Step 3: Cross multiply
    1,464.46x = 2,021.02 × 801.40
  4. Step 4: Simplify right side
    1,464.46x = 1,619,645.43
  5. Step 5: Solve for x
    x = 1,619,645.43/1,464.46
  6. Step 6: Final answer
    x = 1,105.97

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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.