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Finding the Fourth Proportional to 1,464.88, 2,021.53 and 801.73

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Solution

The fourth proportional to 1,464.88, 2,021.53 and 801.73 is: 1,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.88 : 2,021.53 = 801.73 : x
  2. Step 2: Convert to fraction form
    1,464.88/2,021.53 = 801.73/x
  3. Step 3: Cross multiply
    1,464.88x = 2,021.53 × 801.73
  4. Step 4: Simplify right side
    1,464.88x = 1,620,724.06
  5. Step 5: Solve for x
    x = 1,620,724.06/1,464.88
  6. Step 6: Final answer
    x = 1,106.38

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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.