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Finding the Fourth Proportional to 1,184.77, 1,777.44 and 454.33

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Solution

The fourth proportional to 1,184.77, 1,777.44 and 454.33 is: 681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.77 : 1,777.44 = 454.33 : x
  2. Step 2: Convert to fraction form
    1,184.77/1,777.44 = 454.33/x
  3. Step 3: Cross multiply
    1,184.77x = 1,777.44 × 454.33
  4. Step 4: Simplify right side
    1,184.77x = 807,544.32
  5. Step 5: Solve for x
    x = 807,544.32/1,184.77
  6. Step 6: Final answer
    x = 681.60

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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.