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Finding the Fourth Proportional to 1,178, 1,766.22 and 561.80

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Solution

The fourth proportional to 1,178, 1,766.22 and 561.80 is: 842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178 : 1,766.22 = 561.80 : x
  2. Step 2: Convert to fraction form
    1,178/1,766.22 = 561.80/x
  3. Step 3: Cross multiply
    1,178x = 1,766.22 × 561.80
  4. Step 4: Simplify right side
    1,178x = 992,262.40
  5. Step 5: Solve for x
    x = 992,262.40/1,178
  6. Step 6: Final answer
    x = 842.33

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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.