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Finding the Fourth Proportional to 772.76, 1,065.36 and 606.32

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Solution

The fourth proportional to 772.76, 1,065.36 and 606.32 is: 835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.76 : 1,065.36 = 606.32 : x
  2. Step 2: Convert to fraction form
    772.76/1,065.36 = 606.32/x
  3. Step 3: Cross multiply
    772.76x = 1,065.36 × 606.32
  4. Step 4: Simplify right side
    772.76x = 645,949.08
  5. Step 5: Solve for x
    x = 645,949.08/772.76
  6. Step 6: Final answer
    x = 835.90

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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.