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Finding the Fourth Proportional to 772.96, 1,066.70 and 423.66

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Solution

The fourth proportional to 772.96, 1,066.70 and 423.66 is: 584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.96 : 1,066.70 = 423.66 : x
  2. Step 2: Convert to fraction form
    772.96/1,066.70 = 423.66/x
  3. Step 3: Cross multiply
    772.96x = 1,066.70 × 423.66
  4. Step 4: Simplify right side
    772.96x = 451,918.12
  5. Step 5: Solve for x
    x = 451,918.12/772.96
  6. Step 6: Final answer
    x = 584.66

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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.