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Finding the Fourth Proportional to 1,597.22, 2,204.04 and 898.58

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Solution

The fourth proportional to 1,597.22, 2,204.04 and 898.58 is: 1,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.22 : 2,204.04 = 898.58 : x
  2. Step 2: Convert to fraction form
    1,597.22/2,204.04 = 898.58/x
  3. Step 3: Cross multiply
    1,597.22x = 2,204.04 × 898.58
  4. Step 4: Simplify right side
    1,597.22x = 1,980,506.26
  5. Step 5: Solve for x
    x = 1,980,506.26/1,597.22
  6. Step 6: Final answer
    x = 1,239.97

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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.