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Finding the Fourth Proportional to 779.39, 1,168.10 and 389.50

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Solution

The fourth proportional to 779.39, 1,168.10 and 389.50 is: 583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.39 : 1,168.10 = 389.50 : x
  2. Step 2: Convert to fraction form
    779.39/1,168.10 = 389.50/x
  3. Step 3: Cross multiply
    779.39x = 1,168.10 × 389.50
  4. Step 4: Simplify right side
    779.39x = 454,970.08
  5. Step 5: Solve for x
    x = 454,970.08/779.39
  6. Step 6: Final answer
    x = 583.76

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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.