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Finding the Fourth Proportional to 772.63, 1,066.29 and 441.07

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Solution

The fourth proportional to 772.63, 1,066.29 and 441.07 is: 608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.63 : 1,066.29 = 441.07 : x
  2. Step 2: Convert to fraction form
    772.63/1,066.29 = 441.07/x
  3. Step 3: Cross multiply
    772.63x = 1,066.29 × 441.07
  4. Step 4: Simplify right side
    772.63x = 470,308.53
  5. Step 5: Solve for x
    x = 470,308.53/772.63
  6. Step 6: Final answer
    x = 608.71

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Why These Related Problems?

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