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Finding the Fourth Proportional to 772.46, 1,065.96 and 423.14

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Solution

The fourth proportional to 772.46, 1,065.96 and 423.14 is: 583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.46 : 1,065.96 = 423.14 : x
  2. Step 2: Convert to fraction form
    772.46/1,065.96 = 423.14/x
  3. Step 3: Cross multiply
    772.46x = 1,065.96 × 423.14
  4. Step 4: Simplify right side
    772.46x = 451,050.31
  5. Step 5: Solve for x
    x = 451,050.31/772.46
  6. Step 6: Final answer
    x = 583.91

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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.