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Finding the Fourth Proportional to 662.98, 914.97 and 565.06

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Solution

The fourth proportional to 662.98, 914.97 and 565.06 is: 779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.98 : 914.97 = 565.06 : x
  2. Step 2: Convert to fraction form
    662.98/914.97 = 565.06/x
  3. Step 3: Cross multiply
    662.98x = 914.97 × 565.06
  4. Step 4: Simplify right side
    662.98x = 517,012.95
  5. Step 5: Solve for x
    x = 517,012.95/662.98
  6. Step 6: Final answer
    x = 779.83

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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.