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Finding the Fourth Proportional to 1,597.58, 2,396.17 and 427.67

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Solution

The fourth proportional to 1,597.58, 2,396.17 and 427.67 is: 641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.58 : 2,396.17 = 427.67 : x
  2. Step 2: Convert to fraction form
    1,597.58/2,396.17 = 427.67/x
  3. Step 3: Cross multiply
    1,597.58x = 2,396.17 × 427.67
  4. Step 4: Simplify right side
    1,597.58x = 1,024,755.90
  5. Step 5: Solve for x
    x = 1,024,755.90/1,597.58
  6. Step 6: Final answer
    x = 641.44

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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.