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Finding the Fourth Proportional to 1,290.32, 1,933.32 and 711.44

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Solution

The fourth proportional to 1,290.32, 1,933.32 and 711.44 is: 1,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.32 : 1,933.32 = 711.44 : x
  2. Step 2: Convert to fraction form
    1,290.32/1,933.32 = 711.44/x
  3. Step 3: Cross multiply
    1,290.32x = 1,933.32 × 711.44
  4. Step 4: Simplify right side
    1,290.32x = 1,375,441.18
  5. Step 5: Solve for x
    x = 1,375,441.18/1,290.32
  6. Step 6: Final answer
    x = 1,065.97

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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.