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Finding the Fourth Proportional to 1,107.76, 1,663.80 and 902.48

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Solution

The fourth proportional to 1,107.76, 1,663.80 and 902.48 is: 1,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.76 : 1,663.80 = 902.48 : x
  2. Step 2: Convert to fraction form
    1,107.76/1,663.80 = 902.48/x
  3. Step 3: Cross multiply
    1,107.76x = 1,663.80 × 902.48
  4. Step 4: Simplify right side
    1,107.76x = 1,501,546.22
  5. Step 5: Solve for x
    x = 1,501,546.22/1,107.76
  6. Step 6: Final answer
    x = 1,355.48

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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.