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Finding the Fourth Proportional to 1,464.78, 2,021.42 and 875.66

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Solution

The fourth proportional to 1,464.78, 2,021.42 and 875.66 is: 1,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.78 : 2,021.42 = 875.66 : x
  2. Step 2: Convert to fraction form
    1,464.78/2,021.42 = 875.66/x
  3. Step 3: Cross multiply
    1,464.78x = 2,021.42 × 875.66
  4. Step 4: Simplify right side
    1,464.78x = 1,770,076.64
  5. Step 5: Solve for x
    x = 1,770,076.64/1,464.78
  6. Step 6: Final answer
    x = 1,208.42

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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.