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Finding the Fourth Proportional to 1,478.97, 2,218.43 and 383.24

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Solution

The fourth proportional to 1,478.97, 2,218.43 and 383.24 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.97 : 2,218.43 = 383.24 : x
  2. Step 2: Convert to fraction form
    1,478.97/2,218.43 = 383.24/x
  3. Step 3: Cross multiply
    1,478.97x = 2,218.43 × 383.24
  4. Step 4: Simplify right side
    1,478.97x = 850,197.62
  5. Step 5: Solve for x
    x = 850,197.62/1,478.97
  6. Step 6: Final answer
    x = 574.86

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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.