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Finding the Fourth Proportional to 1,086.71, 1,499.52 and 620.96

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Solution

The fourth proportional to 1,086.71, 1,499.52 and 620.96 is: 856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.71 : 1,499.52 = 620.96 : x
  2. Step 2: Convert to fraction form
    1,086.71/1,499.52 = 620.96/x
  3. Step 3: Cross multiply
    1,086.71x = 1,499.52 × 620.96
  4. Step 4: Simplify right side
    1,086.71x = 931,134.44
  5. Step 5: Solve for x
    x = 931,134.44/1,086.71
  6. Step 6: Final answer
    x = 856.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.