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Finding the Fourth Proportional to 897.27, 1,236.85 and 598.03

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Solution

The fourth proportional to 897.27, 1,236.85 and 598.03 is: 824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.27 : 1,236.85 = 598.03 : x
  2. Step 2: Convert to fraction form
    897.27/1,236.85 = 598.03/x
  3. Step 3: Cross multiply
    897.27x = 1,236.85 × 598.03
  4. Step 4: Simplify right side
    897.27x = 739,673.41
  5. Step 5: Solve for x
    x = 739,673.41/897.27
  6. Step 6: Final answer
    x = 824.36

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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.