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Finding the Fourth Proportional to 772.41, 1,065.95 and 423.12

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Solution

The fourth proportional to 772.41, 1,065.95 and 423.12 is: 583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.41 : 1,065.95 = 423.12 : x
  2. Step 2: Convert to fraction form
    772.41/1,065.95 = 423.12/x
  3. Step 3: Cross multiply
    772.41x = 1,065.95 × 423.12
  4. Step 4: Simplify right side
    772.41x = 451,024.76
  5. Step 5: Solve for x
    x = 451,024.76/772.41
  6. Step 6: Final answer
    x = 583.92

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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.