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Finding the Fourth Proportional to 708.03, 1,062.09 and 188.02

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Solution

The fourth proportional to 708.03, 1,062.09 and 188.02 is: 282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.03 : 1,062.09 = 188.02 : x
  2. Step 2: Convert to fraction form
    708.03/1,062.09 = 188.02/x
  3. Step 3: Cross multiply
    708.03x = 1,062.09 × 188.02
  4. Step 4: Simplify right side
    708.03x = 199,694.16
  5. Step 5: Solve for x
    x = 199,694.16/708.03
  6. Step 6: Final answer
    x = 282.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.