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Finding the Fourth Proportional to 1,205.18, 1,663.02 and 681.20

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Solution

The fourth proportional to 1,205.18, 1,663.02 and 681.20 is: 939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.18 : 1,663.02 = 681.20 : x
  2. Step 2: Convert to fraction form
    1,205.18/1,663.02 = 681.20/x
  3. Step 3: Cross multiply
    1,205.18x = 1,663.02 × 681.20
  4. Step 4: Simplify right side
    1,205.18x = 1,132,849.22
  5. Step 5: Solve for x
    x = 1,132,849.22/1,205.18
  6. Step 6: Final answer
    x = 939.98

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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.