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Finding the Fourth Proportional to 1,202.75, 1,659.80 and 705.37

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Solution

The fourth proportional to 1,202.75, 1,659.80 and 705.37 is: 973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.75 : 1,659.80 = 705.37 : x
  2. Step 2: Convert to fraction form
    1,202.75/1,659.80 = 705.37/x
  3. Step 3: Cross multiply
    1,202.75x = 1,659.80 × 705.37
  4. Step 4: Simplify right side
    1,202.75x = 1,170,773.13
  5. Step 5: Solve for x
    x = 1,170,773.13/1,202.75
  6. Step 6: Final answer
    x = 973.41

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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.