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Finding the Fourth Proportional to 1,200.15, 1,654.29 and 979.02

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Solution

The fourth proportional to 1,200.15, 1,654.29 and 979.02 is: 1,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.15 : 1,654.29 = 979.02 : x
  2. Step 2: Convert to fraction form
    1,200.15/1,654.29 = 979.02/x
  3. Step 3: Cross multiply
    1,200.15x = 1,654.29 × 979.02
  4. Step 4: Simplify right side
    1,200.15x = 1,619,583.00
  5. Step 5: Solve for x
    x = 1,619,583.00/1,200.15
  6. Step 6: Final answer
    x = 1,349.48

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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.