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Finding the Fourth Proportional to 779.74, 1,168.88 and 266.38

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Solution

The fourth proportional to 779.74, 1,168.88 and 266.38 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.74 : 1,168.88 = 266.38 : x
  2. Step 2: Convert to fraction form
    779.74/1,168.88 = 266.38/x
  3. Step 3: Cross multiply
    779.74x = 1,168.88 × 266.38
  4. Step 4: Simplify right side
    779.74x = 311,366.25
  5. Step 5: Solve for x
    x = 311,366.25/779.74
  6. Step 6: Final answer
    x = 399.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.