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Finding the Fourth Proportional to 772.91, 1,066.64 and 423.59

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Solution

The fourth proportional to 772.91, 1,066.64 and 423.59 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.91 : 1,066.64 = 423.59 : x
  2. Step 2: Convert to fraction form
    772.91/1,066.64 = 423.59/x
  3. Step 3: Cross multiply
    772.91x = 1,066.64 × 423.59
  4. Step 4: Simplify right side
    772.91x = 451,810.59
  5. Step 5: Solve for x
    x = 451,810.59/772.91
  6. Step 6: Final answer
    x = 584.56

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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.