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Finding the Fourth Proportional to 874.37, 1,206.49 and 653.85

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Solution

The fourth proportional to 874.37, 1,206.49 and 653.85 is: 902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.37 : 1,206.49 = 653.85 : x
  2. Step 2: Convert to fraction form
    874.37/1,206.49 = 653.85/x
  3. Step 3: Cross multiply
    874.37x = 1,206.49 × 653.85
  4. Step 4: Simplify right side
    874.37x = 788,863.49
  5. Step 5: Solve for x
    x = 788,863.49/874.37
  6. Step 6: Final answer
    x = 902.21

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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.