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Finding the Fourth Proportional to 893.48, 1,233.44 and 594.91

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Solution

The fourth proportional to 893.48, 1,233.44 and 594.91 is: 821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.48 : 1,233.44 = 594.91 : x
  2. Step 2: Convert to fraction form
    893.48/1,233.44 = 594.91/x
  3. Step 3: Cross multiply
    893.48x = 1,233.44 × 594.91
  4. Step 4: Simplify right side
    893.48x = 733,784.10
  5. Step 5: Solve for x
    x = 733,784.10/893.48
  6. Step 6: Final answer
    x = 821.26

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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.