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Finding the Fourth Proportional to 1,310.06, 1,964.81 and 385.37

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Solution

The fourth proportional to 1,310.06, 1,964.81 and 385.37 is: 577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.06 : 1,964.81 = 385.37 : x
  2. Step 2: Convert to fraction form
    1,310.06/1,964.81 = 385.37/x
  3. Step 3: Cross multiply
    1,310.06x = 1,964.81 × 385.37
  4. Step 4: Simplify right side
    1,310.06x = 757,178.83
  5. Step 5: Solve for x
    x = 757,178.83/1,310.06
  6. Step 6: Final answer
    x = 577.97

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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.