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Finding the Fourth Proportional to 772.02, 1,063.04 and 605.96

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Solution

The fourth proportional to 772.02, 1,063.04 and 605.96 is: 834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,063.04 = 605.96 : x
  2. Step 2: Convert to fraction form
    772.02/1,063.04 = 605.96/x
  3. Step 3: Cross multiply
    772.02x = 1,063.04 × 605.96
  4. Step 4: Simplify right side
    772.02x = 644,159.72
  5. Step 5: Solve for x
    x = 644,159.72/772.02
  6. Step 6: Final answer
    x = 834.38

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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.