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Finding the Fourth Proportional to 772.69, 1,066.31 and 423.38

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Solution

The fourth proportional to 772.69, 1,066.31 and 423.38 is: 584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.69 : 1,066.31 = 423.38 : x
  2. Step 2: Convert to fraction form
    772.69/1,066.31 = 423.38/x
  3. Step 3: Cross multiply
    772.69x = 1,066.31 × 423.38
  4. Step 4: Simplify right side
    772.69x = 451,454.33
  5. Step 5: Solve for x
    x = 451,454.33/772.69
  6. Step 6: Final answer
    x = 584.26

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1.5x scale

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.