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Finding the Fourth Proportional to 789.40, 1,184.64 and 515.08

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Solution

The fourth proportional to 789.40, 1,184.64 and 515.08 is: 772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.40 : 1,184.64 = 515.08 : x
  2. Step 2: Convert to fraction form
    789.40/1,184.64 = 515.08/x
  3. Step 3: Cross multiply
    789.40x = 1,184.64 × 515.08
  4. Step 4: Simplify right side
    789.40x = 610,184.37
  5. Step 5: Solve for x
    x = 610,184.37/789.40
  6. Step 6: Final answer
    x = 772.97

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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.