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Finding the Fourth Proportional to 1,202.92, 1,660.31 and 705.58

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Solution

The fourth proportional to 1,202.92, 1,660.31 and 705.58 is: 973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.92 : 1,660.31 = 705.58 : x
  2. Step 2: Convert to fraction form
    1,202.92/1,660.31 = 705.58/x
  3. Step 3: Cross multiply
    1,202.92x = 1,660.31 × 705.58
  4. Step 4: Simplify right side
    1,202.92x = 1,171,481.53
  5. Step 5: Solve for x
    x = 1,171,481.53/1,202.92
  6. Step 6: Final answer
    x = 973.86

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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.