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Finding the Fourth Proportional to 772.86, 1,066.56 and 441.24

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Solution

The fourth proportional to 772.86, 1,066.56 and 441.24 is: 608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.86 : 1,066.56 = 441.24 : x
  2. Step 2: Convert to fraction form
    772.86/1,066.56 = 441.24/x
  3. Step 3: Cross multiply
    772.86x = 1,066.56 × 441.24
  4. Step 4: Simplify right side
    772.86x = 470,608.93
  5. Step 5: Solve for x
    x = 470,608.93/772.86
  6. Step 6: Final answer
    x = 608.92

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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.