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Finding the Fourth Proportional to 806.70, 1,113.25 and 470.80

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Solution

The fourth proportional to 806.70, 1,113.25 and 470.80 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.70 : 1,113.25 = 470.80 : x
  2. Step 2: Convert to fraction form
    806.70/1,113.25 = 470.80/x
  3. Step 3: Cross multiply
    806.70x = 1,113.25 × 470.80
  4. Step 4: Simplify right side
    806.70x = 524,118.10
  5. Step 5: Solve for x
    x = 524,118.10/806.70
  6. Step 6: Final answer
    x = 649.71

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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.