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Finding the Fourth Proportional to 1,184.43, 1,777.05 and 454.22

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Solution

The fourth proportional to 1,184.43, 1,777.05 and 454.22 is: 681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.43 : 1,777.05 = 454.22 : x
  2. Step 2: Convert to fraction form
    1,184.43/1,777.05 = 454.22/x
  3. Step 3: Cross multiply
    1,184.43x = 1,777.05 × 454.22
  4. Step 4: Simplify right side
    1,184.43x = 807,162.77
  5. Step 5: Solve for x
    x = 807,162.77/1,184.43
  6. Step 6: Final answer
    x = 681.48

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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.