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Finding the Fourth Proportional to 1,468.97, 2,203.46 and 494.99

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Solution

The fourth proportional to 1,468.97, 2,203.46 and 494.99 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.97 : 2,203.46 = 494.99 : x
  2. Step 2: Convert to fraction form
    1,468.97/2,203.46 = 494.99/x
  3. Step 3: Cross multiply
    1,468.97x = 2,203.46 × 494.99
  4. Step 4: Simplify right side
    1,468.97x = 1,090,690.67
  5. Step 5: Solve for x
    x = 1,090,690.67/1,468.97
  6. Step 6: Final answer
    x = 742.49

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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.