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Finding the Fourth Proportional to 1,202.92, 1,659.44 and 705.25

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Solution

The fourth proportional to 1,202.92, 1,659.44 and 705.25 is: 972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.92 : 1,659.44 = 705.25 : x
  2. Step 2: Convert to fraction form
    1,202.92/1,659.44 = 705.25/x
  3. Step 3: Cross multiply
    1,202.92x = 1,659.44 × 705.25
  4. Step 4: Simplify right side
    1,202.92x = 1,170,320.06
  5. Step 5: Solve for x
    x = 1,170,320.06/1,202.92
  6. Step 6: Final answer
    x = 972.90

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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.