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Finding the Fourth Proportional to 935.92, 1,400.72 and 809.20

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Solution

The fourth proportional to 935.92, 1,400.72 and 809.20 is: 1,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.92 : 1,400.72 = 809.20 : x
  2. Step 2: Convert to fraction form
    935.92/1,400.72 = 809.20/x
  3. Step 3: Cross multiply
    935.92x = 1,400.72 × 809.20
  4. Step 4: Simplify right side
    935.92x = 1,133,462.62
  5. Step 5: Solve for x
    x = 1,133,462.62/935.92
  6. Step 6: Final answer
    x = 1,211.07

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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.