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Finding the Fourth Proportional to 902.79, 1,362.63 and 902.79

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Solution

The fourth proportional to 902.79, 1,362.63 and 902.79 is: 1,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.79 : 1,362.63 = 902.79 : x
  2. Step 2: Convert to fraction form
    902.79/1,362.63 = 902.79/x
  3. Step 3: Cross multiply
    902.79x = 1,362.63 × 902.79
  4. Step 4: Simplify right side
    902.79x = 1,230,168.74
  5. Step 5: Solve for x
    x = 1,230,168.74/902.79
  6. Step 6: Final answer
    x = 1,362.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.