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Finding the Fourth Proportional to 1,311.14, 1,967.05 and 386.71

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Solution

The fourth proportional to 1,311.14, 1,967.05 and 386.71 is: 580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.14 : 1,967.05 = 386.71 : x
  2. Step 2: Convert to fraction form
    1,311.14/1,967.05 = 386.71/x
  3. Step 3: Cross multiply
    1,311.14x = 1,967.05 × 386.71
  4. Step 4: Simplify right side
    1,311.14x = 760,680.14
  5. Step 5: Solve for x
    x = 760,680.14/1,311.14
  6. Step 6: Final answer
    x = 580.17

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