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Finding the Fourth Proportional to 789.54, 1,184.88 and 584.66

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Solution

The fourth proportional to 789.54, 1,184.88 and 584.66 is: 877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.54 : 1,184.88 = 584.66 : x
  2. Step 2: Convert to fraction form
    789.54/1,184.88 = 584.66/x
  3. Step 3: Cross multiply
    789.54x = 1,184.88 × 584.66
  4. Step 4: Simplify right side
    789.54x = 692,751.94
  5. Step 5: Solve for x
    x = 692,751.94/789.54
  6. Step 6: Final answer
    x = 877.41

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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.