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Finding the Fourth Proportional to 806.70, 1,204.20 and 709.50

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Solution

The fourth proportional to 806.70, 1,204.20 and 709.50 is: 1,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.70 : 1,204.20 = 709.50 : x
  2. Step 2: Convert to fraction form
    806.70/1,204.20 = 709.50/x
  3. Step 3: Cross multiply
    806.70x = 1,204.20 × 709.50
  4. Step 4: Simplify right side
    806.70x = 854,379.90
  5. Step 5: Solve for x
    x = 854,379.90/806.70
  6. Step 6: Final answer
    x = 1,059.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.