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Finding the Fourth Proportional to 806.57, 1,211.33 and 483.92

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Solution

The fourth proportional to 806.57, 1,211.33 and 483.92 is: 726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.57 : 1,211.33 = 483.92 : x
  2. Step 2: Convert to fraction form
    806.57/1,211.33 = 483.92/x
  3. Step 3: Cross multiply
    806.57x = 1,211.33 × 483.92
  4. Step 4: Simplify right side
    806.57x = 586,186.81
  5. Step 5: Solve for x
    x = 586,186.81/806.57
  6. Step 6: Final answer
    x = 726.76

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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.