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Finding the Fourth Proportional to 1,067.53, 1,602.66 and 580.92

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Solution

The fourth proportional to 1,067.53, 1,602.66 and 580.92 is: 872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.53 : 1,602.66 = 580.92 : x
  2. Step 2: Convert to fraction form
    1,067.53/1,602.66 = 580.92/x
  3. Step 3: Cross multiply
    1,067.53x = 1,602.66 × 580.92
  4. Step 4: Simplify right side
    1,067.53x = 931,020.80
  5. Step 5: Solve for x
    x = 931,020.80/1,067.53
  6. Step 6: Final answer
    x = 872.13

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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.