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Finding the Fourth Proportional to 1,184.23, 1,776.42 and 566.23

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Solution

The fourth proportional to 1,184.23, 1,776.42 and 566.23 is: 849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.23 : 1,776.42 = 566.23 : x
  2. Step 2: Convert to fraction form
    1,184.23/1,776.42 = 566.23/x
  3. Step 3: Cross multiply
    1,184.23x = 1,776.42 × 566.23
  4. Step 4: Simplify right side
    1,184.23x = 1,005,862.30
  5. Step 5: Solve for x
    x = 1,005,862.30/1,184.23
  6. Step 6: Final answer
    x = 849.38

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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.