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Finding the Fourth Proportional to 788.94, 1,184.04 and 583.56

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Solution

The fourth proportional to 788.94, 1,184.04 and 583.56 is: 875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.94 : 1,184.04 = 583.56 : x
  2. Step 2: Convert to fraction form
    788.94/1,184.04 = 583.56/x
  3. Step 3: Cross multiply
    788.94x = 1,184.04 × 583.56
  4. Step 4: Simplify right side
    788.94x = 690,958.38
  5. Step 5: Solve for x
    x = 690,958.38/788.94
  6. Step 6: Final answer
    x = 875.81

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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.