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Finding the Fourth Proportional to 1,468.36, 2,201.88 and 494.20

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Solution

The fourth proportional to 1,468.36, 2,201.88 and 494.20 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.36 : 2,201.88 = 494.20 : x
  2. Step 2: Convert to fraction form
    1,468.36/2,201.88 = 494.20/x
  3. Step 3: Cross multiply
    1,468.36x = 2,201.88 × 494.20
  4. Step 4: Simplify right side
    1,468.36x = 1,088,169.10
  5. Step 5: Solve for x
    x = 1,088,169.10/1,468.36
  6. Step 6: Final answer
    x = 741.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.