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Finding the Fourth Proportional to 806.70, 1,209.50 and 416.54

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Solution

The fourth proportional to 806.70, 1,209.50 and 416.54 is: 624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.70 : 1,209.50 = 416.54 : x
  2. Step 2: Convert to fraction form
    806.70/1,209.50 = 416.54/x
  3. Step 3: Cross multiply
    806.70x = 1,209.50 × 416.54
  4. Step 4: Simplify right side
    806.70x = 503,805.13
  5. Step 5: Solve for x
    x = 503,805.13/806.70
  6. Step 6: Final answer
    x = 624.53

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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.