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Finding the Fourth Proportional to 1,464.75, 2,019.32 and 991.90

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Solution

The fourth proportional to 1,464.75, 2,019.32 and 991.90 is: 1,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.75 : 2,019.32 = 991.90 : x
  2. Step 2: Convert to fraction form
    1,464.75/2,019.32 = 991.90/x
  3. Step 3: Cross multiply
    1,464.75x = 2,019.32 × 991.90
  4. Step 4: Simplify right side
    1,464.75x = 2,002,963.51
  5. Step 5: Solve for x
    x = 2,002,963.51/1,464.75
  6. Step 6: Final answer
    x = 1,367.44

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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.