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Finding the Fourth Proportional to 1,078.33, 1,618.27 and 530.67

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Solution

The fourth proportional to 1,078.33, 1,618.27 and 530.67 is: 796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.33 : 1,618.27 = 530.67 : x
  2. Step 2: Convert to fraction form
    1,078.33/1,618.27 = 530.67/x
  3. Step 3: Cross multiply
    1,078.33x = 1,618.27 × 530.67
  4. Step 4: Simplify right side
    1,078.33x = 858,766.01
  5. Step 5: Solve for x
    x = 858,766.01/1,078.33
  6. Step 6: Final answer
    x = 796.39

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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.