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Finding the Fourth Proportional to 1,202.34, 1,659.12 and 698.06

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Solution

The fourth proportional to 1,202.34, 1,659.12 and 698.06 is: 963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.34 : 1,659.12 = 698.06 : x
  2. Step 2: Convert to fraction form
    1,202.34/1,659.12 = 698.06/x
  3. Step 3: Cross multiply
    1,202.34x = 1,659.12 × 698.06
  4. Step 4: Simplify right side
    1,202.34x = 1,158,167.38
  5. Step 5: Solve for x
    x = 1,158,167.38/1,202.34
  6. Step 6: Final answer
    x = 963.26

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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.