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Finding the Fourth Proportional to 1,202.74, 1,659.49 and 698.51

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Solution

The fourth proportional to 1,202.74, 1,659.49 and 698.51 is: 963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.74 : 1,659.49 = 698.51 : x
  2. Step 2: Convert to fraction form
    1,202.74/1,659.49 = 698.51/x
  3. Step 3: Cross multiply
    1,202.74x = 1,659.49 × 698.51
  4. Step 4: Simplify right side
    1,202.74x = 1,159,172.76
  5. Step 5: Solve for x
    x = 1,159,172.76/1,202.74
  6. Step 6: Final answer
    x = 963.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.