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Finding the Fourth Proportional to 1,468.93, 2,027.02 and 839.48

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Solution

The fourth proportional to 1,468.93, 2,027.02 and 839.48 is: 1,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.93 : 2,027.02 = 839.48 : x
  2. Step 2: Convert to fraction form
    1,468.93/2,027.02 = 839.48/x
  3. Step 3: Cross multiply
    1,468.93x = 2,027.02 × 839.48
  4. Step 4: Simplify right side
    1,468.93x = 1,701,642.75
  5. Step 5: Solve for x
    x = 1,701,642.75/1,468.93
  6. Step 6: Final answer
    x = 1,158.42

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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.