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Finding the Fourth Proportional to 1,599.38, 2,398.49 and 559.10

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Solution

The fourth proportional to 1,599.38, 2,398.49 and 559.10 is: 838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.38 : 2,398.49 = 559.10 : x
  2. Step 2: Convert to fraction form
    1,599.38/2,398.49 = 559.10/x
  3. Step 3: Cross multiply
    1,599.38x = 2,398.49 × 559.10
  4. Step 4: Simplify right side
    1,599.38x = 1,340,980.97
  5. Step 5: Solve for x
    x = 1,340,980.97/1,599.38
  6. Step 6: Final answer
    x = 838.44

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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.