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Finding the Fourth Proportional to 773.07, 1,066.81 and 423.75

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Solution

The fourth proportional to 773.07, 1,066.81 and 423.75 is: 584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.07 : 1,066.81 = 423.75 : x
  2. Step 2: Convert to fraction form
    773.07/1,066.81 = 423.75/x
  3. Step 3: Cross multiply
    773.07x = 1,066.81 × 423.75
  4. Step 4: Simplify right side
    773.07x = 452,060.74
  5. Step 5: Solve for x
    x = 452,060.74/773.07
  6. Step 6: Final answer
    x = 584.76

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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.