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Finding the Fourth Proportional to 806.82, 1,113.56 and 470.67

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Solution

The fourth proportional to 806.82, 1,113.56 and 470.67 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.82 : 1,113.56 = 470.67 : x
  2. Step 2: Convert to fraction form
    806.82/1,113.56 = 470.67/x
  3. Step 3: Cross multiply
    806.82x = 1,113.56 × 470.67
  4. Step 4: Simplify right side
    806.82x = 524,116.93
  5. Step 5: Solve for x
    x = 524,116.93/806.82
  6. Step 6: Final answer
    x = 649.61

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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.