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Finding the Fourth Proportional to 893.73, 1,233.32 and 632.10

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Solution

The fourth proportional to 893.73, 1,233.32 and 632.10 is: 872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.73 : 1,233.32 = 632.10 : x
  2. Step 2: Convert to fraction form
    893.73/1,233.32 = 632.10/x
  3. Step 3: Cross multiply
    893.73x = 1,233.32 × 632.10
  4. Step 4: Simplify right side
    893.73x = 779,578.41
  5. Step 5: Solve for x
    x = 779,578.41/893.73
  6. Step 6: Final answer
    x = 872.28

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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.