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Finding the Fourth Proportional to 772.82, 1,066.54 and 441.12

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Solution

The fourth proportional to 772.82, 1,066.54 and 441.12 is: 608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.82 : 1,066.54 = 441.12 : x
  2. Step 2: Convert to fraction form
    772.82/1,066.54 = 441.12/x
  3. Step 3: Cross multiply
    772.82x = 1,066.54 × 441.12
  4. Step 4: Simplify right side
    772.82x = 470,472.12
  5. Step 5: Solve for x
    x = 470,472.12/772.82
  6. Step 6: Final answer
    x = 608.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.