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Finding the Fourth Proportional to 1,599.88, 2,398.77 and 767.38

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Solution

The fourth proportional to 1,599.88, 2,398.77 and 767.38 is: 1,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.88 : 2,398.77 = 767.38 : x
  2. Step 2: Convert to fraction form
    1,599.88/2,398.77 = 767.38/x
  3. Step 3: Cross multiply
    1,599.88x = 2,398.77 × 767.38
  4. Step 4: Simplify right side
    1,599.88x = 1,840,768.12
  5. Step 5: Solve for x
    x = 1,840,768.12/1,599.88
  6. Step 6: Final answer
    x = 1,150.57

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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.