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Finding the Fourth Proportional to 1,597.98, 2,396.86 and 427.98

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Solution

The fourth proportional to 1,597.98, 2,396.86 and 427.98 is: 641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.98 : 2,396.86 = 427.98 : x
  2. Step 2: Convert to fraction form
    1,597.98/2,396.86 = 427.98/x
  3. Step 3: Cross multiply
    1,597.98x = 2,396.86 × 427.98
  4. Step 4: Simplify right side
    1,597.98x = 1,025,808.14
  5. Step 5: Solve for x
    x = 1,025,808.14/1,597.98
  6. Step 6: Final answer
    x = 641.94

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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.