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Finding the Fourth Proportional to 1,597.12, 2,204 and 898.48

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Solution

The fourth proportional to 1,597.12, 2,204 and 898.48 is: 1,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.12 : 2,204 = 898.48 : x
  2. Step 2: Convert to fraction form
    1,597.12/2,204 = 898.48/x
  3. Step 3: Cross multiply
    1,597.12x = 2,204 × 898.48
  4. Step 4: Simplify right side
    1,597.12x = 1,980,249.92
  5. Step 5: Solve for x
    x = 1,980,249.92/1,597.12
  6. Step 6: Final answer
    x = 1,239.89

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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.