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Finding the Fourth Proportional to 1,205.13, 1,663.08 and 681.19

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Solution

The fourth proportional to 1,205.13, 1,663.08 and 681.19 is: 940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.13 : 1,663.08 = 681.19 : x
  2. Step 2: Convert to fraction form
    1,205.13/1,663.08 = 681.19/x
  3. Step 3: Cross multiply
    1,205.13x = 1,663.08 × 681.19
  4. Step 4: Simplify right side
    1,205.13x = 1,132,870.06
  5. Step 5: Solve for x
    x = 1,132,870.06/1,205.13
  6. Step 6: Final answer
    x = 940.04

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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.