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Finding the Fourth Proportional to 1,184.73, 1,776.71 and 559.93

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Solution

The fourth proportional to 1,184.73, 1,776.71 and 559.93 is: 839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.73 : 1,776.71 = 559.93 : x
  2. Step 2: Convert to fraction form
    1,184.73/1,776.71 = 559.93/x
  3. Step 3: Cross multiply
    1,184.73x = 1,776.71 × 559.93
  4. Step 4: Simplify right side
    1,184.73x = 994,833.23
  5. Step 5: Solve for x
    x = 994,833.23/1,184.73
  6. Step 6: Final answer
    x = 839.71

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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.