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Finding the Fourth Proportional to 789.84, 1,184.31 and 356.58

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Solution

The fourth proportional to 789.84, 1,184.31 and 356.58 is: 534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.84 : 1,184.31 = 356.58 : x
  2. Step 2: Convert to fraction form
    789.84/1,184.31 = 356.58/x
  3. Step 3: Cross multiply
    789.84x = 1,184.31 × 356.58
  4. Step 4: Simplify right side
    789.84x = 422,301.26
  5. Step 5: Solve for x
    x = 422,301.26/789.84
  6. Step 6: Final answer
    x = 534.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.