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Finding the Fourth Proportional to 1,203.58, 1,661.02 and 679.62

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Solution

The fourth proportional to 1,203.58, 1,661.02 and 679.62 is: 937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.58 : 1,661.02 = 679.62 : x
  2. Step 2: Convert to fraction form
    1,203.58/1,661.02 = 679.62/x
  3. Step 3: Cross multiply
    1,203.58x = 1,661.02 × 679.62
  4. Step 4: Simplify right side
    1,203.58x = 1,128,862.41
  5. Step 5: Solve for x
    x = 1,128,862.41/1,203.58
  6. Step 6: Final answer
    x = 937.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.