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Finding the Fourth Proportional to 1,697.99, 2,546.17 and 658.49

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Solution

The fourth proportional to 1,697.99, 2,546.17 and 658.49 is: 987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.99 : 2,546.17 = 658.49 : x
  2. Step 2: Convert to fraction form
    1,697.99/2,546.17 = 658.49/x
  3. Step 3: Cross multiply
    1,697.99x = 2,546.17 × 658.49
  4. Step 4: Simplify right side
    1,697.99x = 1,676,613.11
  5. Step 5: Solve for x
    x = 1,676,613.11/1,697.99
  6. Step 6: Final answer
    x = 987.41

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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.