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Finding the Fourth Proportional to 1,067.29, 1,598.65 and 1,038.13

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Solution

The fourth proportional to 1,067.29, 1,598.65 and 1,038.13 is: 1,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.29 : 1,598.65 = 1,038.13 : x
  2. Step 2: Convert to fraction form
    1,067.29/1,598.65 = 1,038.13/x
  3. Step 3: Cross multiply
    1,067.29x = 1,598.65 × 1,038.13
  4. Step 4: Simplify right side
    1,067.29x = 1,659,599.93
  5. Step 5: Solve for x
    x = 1,659,599.93/1,067.29
  6. Step 6: Final answer
    x = 1,554.97

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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.