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Finding the Fourth Proportional to 1,203.30, 1,660.59 and 679.23

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Solution

The fourth proportional to 1,203.30, 1,660.59 and 679.23 is: 937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.30 : 1,660.59 = 679.23 : x
  2. Step 2: Convert to fraction form
    1,203.30/1,660.59 = 679.23/x
  3. Step 3: Cross multiply
    1,203.30x = 1,660.59 × 679.23
  4. Step 4: Simplify right side
    1,203.30x = 1,127,922.55
  5. Step 5: Solve for x
    x = 1,127,922.55/1,203.30
  6. Step 6: Final answer
    x = 937.36

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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.