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Finding the Fourth Proportional to 827.20, 1,239.45 and 705.70

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Solution

The fourth proportional to 827.20, 1,239.45 and 705.70 is: 1,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.20 : 1,239.45 = 705.70 : x
  2. Step 2: Convert to fraction form
    827.20/1,239.45 = 705.70/x
  3. Step 3: Cross multiply
    827.20x = 1,239.45 × 705.70
  4. Step 4: Simplify right side
    827.20x = 874,679.87
  5. Step 5: Solve for x
    x = 874,679.87/827.20
  6. Step 6: Final answer
    x = 1,057.40

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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.