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Finding the Fourth Proportional to 1,067.46, 1,592.32 and 1,050.46

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Solution

The fourth proportional to 1,067.46, 1,592.32 and 1,050.46 is: 1,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.46 : 1,592.32 = 1,050.46 : x
  2. Step 2: Convert to fraction form
    1,067.46/1,592.32 = 1,050.46/x
  3. Step 3: Cross multiply
    1,067.46x = 1,592.32 × 1,050.46
  4. Step 4: Simplify right side
    1,067.46x = 1,672,668.47
  5. Step 5: Solve for x
    x = 1,672,668.47/1,067.46
  6. Step 6: Final answer
    x = 1,566.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.