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Finding the Fourth Proportional to 789.27, 1,184.16 and 463.95

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Solution

The fourth proportional to 789.27, 1,184.16 and 463.95 is: 696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.27 : 1,184.16 = 463.95 : x
  2. Step 2: Convert to fraction form
    789.27/1,184.16 = 463.95/x
  3. Step 3: Cross multiply
    789.27x = 1,184.16 × 463.95
  4. Step 4: Simplify right side
    789.27x = 549,391.03
  5. Step 5: Solve for x
    x = 549,391.03/789.27
  6. Step 6: Final answer
    x = 696.07

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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.