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Finding the Fourth Proportional to 902.65, 1,229.14 and 902.65

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Solution

The fourth proportional to 902.65, 1,229.14 and 902.65 is: 1,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.65 : 1,229.14 = 902.65 : x
  2. Step 2: Convert to fraction form
    902.65/1,229.14 = 902.65/x
  3. Step 3: Cross multiply
    902.65x = 1,229.14 × 902.65
  4. Step 4: Simplify right side
    902.65x = 1,109,483.22
  5. Step 5: Solve for x
    x = 1,109,483.22/902.65
  6. Step 6: Final answer
    x = 1,229.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.