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Finding the Fourth Proportional to 1,599.19, 2,398.78 and 444.94

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Solution

The fourth proportional to 1,599.19, 2,398.78 and 444.94 is: 667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.19 : 2,398.78 = 444.94 : x
  2. Step 2: Convert to fraction form
    1,599.19/2,398.78 = 444.94/x
  3. Step 3: Cross multiply
    1,599.19x = 2,398.78 × 444.94
  4. Step 4: Simplify right side
    1,599.19x = 1,067,307.73
  5. Step 5: Solve for x
    x = 1,067,307.73/1,599.19
  6. Step 6: Final answer
    x = 667.41

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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.