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Finding the Fourth Proportional to 779.12, 1,168.08 and 389.12

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Solution

The fourth proportional to 779.12, 1,168.08 and 389.12 is: 583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.12 : 1,168.08 = 389.12 : x
  2. Step 2: Convert to fraction form
    779.12/1,168.08 = 389.12/x
  3. Step 3: Cross multiply
    779.12x = 1,168.08 × 389.12
  4. Step 4: Simplify right side
    779.12x = 454,523.29
  5. Step 5: Solve for x
    x = 454,523.29/779.12
  6. Step 6: Final answer
    x = 583.38

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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.