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Finding the Fourth Proportional to 902.10, 1,263.75 and 902.10

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Solution

The fourth proportional to 902.10, 1,263.75 and 902.10 is: 1,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.10 : 1,263.75 = 902.10 : x
  2. Step 2: Convert to fraction form
    902.10/1,263.75 = 902.10/x
  3. Step 3: Cross multiply
    902.10x = 1,263.75 × 902.10
  4. Step 4: Simplify right side
    902.10x = 1,140,028.88
  5. Step 5: Solve for x
    x = 1,140,028.88/902.10
  6. Step 6: Final answer
    x = 1,263.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.