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Finding the Fourth Proportional to 1,067.86, 1,598.55 and 953.38

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Solution

The fourth proportional to 1,067.86, 1,598.55 and 953.38 is: 1,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.86 : 1,598.55 = 953.38 : x
  2. Step 2: Convert to fraction form
    1,067.86/1,598.55 = 953.38/x
  3. Step 3: Cross multiply
    1,067.86x = 1,598.55 × 953.38
  4. Step 4: Simplify right side
    1,067.86x = 1,524,025.60
  5. Step 5: Solve for x
    x = 1,524,025.60/1,067.86
  6. Step 6: Final answer
    x = 1,427.18

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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.