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Finding the Fourth Proportional to 902.54, 1,353.66 and 253.13

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Solution

The fourth proportional to 902.54, 1,353.66 and 253.13 is: 379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.54 : 1,353.66 = 253.13 : x
  2. Step 2: Convert to fraction form
    902.54/1,353.66 = 253.13/x
  3. Step 3: Cross multiply
    902.54x = 1,353.66 × 253.13
  4. Step 4: Simplify right side
    902.54x = 342,645.66
  5. Step 5: Solve for x
    x = 342,645.66/902.54
  6. Step 6: Final answer
    x = 379.64

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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.