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Finding the Fourth Proportional to 1,202.72, 1,659.92 and 705.48

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Solution

The fourth proportional to 1,202.72, 1,659.92 and 705.48 is: 973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.72 : 1,659.92 = 705.48 : x
  2. Step 2: Convert to fraction form
    1,202.72/1,659.92 = 705.48/x
  3. Step 3: Cross multiply
    1,202.72x = 1,659.92 × 705.48
  4. Step 4: Simplify right side
    1,202.72x = 1,171,040.36
  5. Step 5: Solve for x
    x = 1,171,040.36/1,202.72
  6. Step 6: Final answer
    x = 973.66

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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.