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Finding the Fourth Proportional to 1,203.48, 1,660.72 and 679.47

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Solution

The fourth proportional to 1,203.48, 1,660.72 and 679.47 is: 937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.48 : 1,660.72 = 679.47 : x
  2. Step 2: Convert to fraction form
    1,203.48/1,660.72 = 679.47/x
  3. Step 3: Cross multiply
    1,203.48x = 1,660.72 × 679.47
  4. Step 4: Simplify right side
    1,203.48x = 1,128,409.42
  5. Step 5: Solve for x
    x = 1,128,409.42/1,203.48
  6. Step 6: Final answer
    x = 937.62

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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.