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Finding the Fourth Proportional to 772.75, 1,065.91 and 586.95

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Solution

The fourth proportional to 772.75, 1,065.91 and 586.95 is: 809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.75 : 1,065.91 = 586.95 : x
  2. Step 2: Convert to fraction form
    772.75/1,065.91 = 586.95/x
  3. Step 3: Cross multiply
    772.75x = 1,065.91 × 586.95
  4. Step 4: Simplify right side
    772.75x = 625,635.87
  5. Step 5: Solve for x
    x = 625,635.87/772.75
  6. Step 6: Final answer
    x = 809.62

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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.