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Finding the Fourth Proportional to 1,184.25, 1,776.92 and 453.77

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Solution

The fourth proportional to 1,184.25, 1,776.92 and 453.77 is: 680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.25 : 1,776.92 = 453.77 : x
  2. Step 2: Convert to fraction form
    1,184.25/1,776.92 = 453.77/x
  3. Step 3: Cross multiply
    1,184.25x = 1,776.92 × 453.77
  4. Step 4: Simplify right side
    1,184.25x = 806,301.83
  5. Step 5: Solve for x
    x = 806,301.83/1,184.25
  6. Step 6: Final answer
    x = 680.85

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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.