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Finding the Fourth Proportional to 874.60, 1,205.70 and 717

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Solution

The fourth proportional to 874.60, 1,205.70 and 717 is: 988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.60 : 1,205.70 = 717 : x
  2. Step 2: Convert to fraction form
    874.60/1,205.70 = 717/x
  3. Step 3: Cross multiply
    874.60x = 1,205.70 × 717
  4. Step 4: Simplify right side
    874.60x = 864,486.90
  5. Step 5: Solve for x
    x = 864,486.90/874.60
  6. Step 6: Final answer
    x = 988.44

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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.