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Finding the Fourth Proportional to 1,067.47, 1,599.17 and 895.25

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Solution

The fourth proportional to 1,067.47, 1,599.17 and 895.25 is: 1,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.47 : 1,599.17 = 895.25 : x
  2. Step 2: Convert to fraction form
    1,067.47/1,599.17 = 895.25/x
  3. Step 3: Cross multiply
    1,067.47x = 1,599.17 × 895.25
  4. Step 4: Simplify right side
    1,067.47x = 1,431,656.46
  5. Step 5: Solve for x
    x = 1,431,656.46/1,067.47
  6. Step 6: Final answer
    x = 1,341.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.