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Finding the Fourth Proportional to 902.73, 1,353.29 and 468.57

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Solution

The fourth proportional to 902.73, 1,353.29 and 468.57 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.73 : 1,353.29 = 468.57 : x
  2. Step 2: Convert to fraction form
    902.73/1,353.29 = 468.57/x
  3. Step 3: Cross multiply
    902.73x = 1,353.29 × 468.57
  4. Step 4: Simplify right side
    902.73x = 634,111.10
  5. Step 5: Solve for x
    x = 634,111.10/902.73
  6. Step 6: Final answer
    x = 702.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.