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Finding the Fourth Proportional to 1,152.70, 1,721.75 and 827.90

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Solution

The fourth proportional to 1,152.70, 1,721.75 and 827.90 is: 1,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.70 : 1,721.75 = 827.90 : x
  2. Step 2: Convert to fraction form
    1,152.70/1,721.75 = 827.90/x
  3. Step 3: Cross multiply
    1,152.70x = 1,721.75 × 827.90
  4. Step 4: Simplify right side
    1,152.70x = 1,425,432.69
  5. Step 5: Solve for x
    x = 1,425,432.69/1,152.70
  6. Step 6: Final answer
    x = 1,236.60

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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.