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Finding the Fourth Proportional to 1,776.08, 2,664.11 and 477.55

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Solution

The fourth proportional to 1,776.08, 2,664.11 and 477.55 is: 716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.08 : 2,664.11 = 477.55 : x
  2. Step 2: Convert to fraction form
    1,776.08/2,664.11 = 477.55/x
  3. Step 3: Cross multiply
    1,776.08x = 2,664.11 × 477.55
  4. Step 4: Simplify right side
    1,776.08x = 1,272,231.22
  5. Step 5: Solve for x
    x = 1,272,231.22/1,776.08
  6. Step 6: Final answer
    x = 716.32

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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.