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Finding the Fourth Proportional to 1,202.57, 1,659.13 and 705.23

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Solution

The fourth proportional to 1,202.57, 1,659.13 and 705.23 is: 972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.57 : 1,659.13 = 705.23 : x
  2. Step 2: Convert to fraction form
    1,202.57/1,659.13 = 705.23/x
  3. Step 3: Cross multiply
    1,202.57x = 1,659.13 × 705.23
  4. Step 4: Simplify right side
    1,202.57x = 1,170,059.95
  5. Step 5: Solve for x
    x = 1,170,059.95/1,202.57
  6. Step 6: Final answer
    x = 972.97

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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.