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Finding the Fourth Proportional to 1,117.09, 1,540.27 and 906.60

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Solution

The fourth proportional to 1,117.09, 1,540.27 and 906.60 is: 1,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.09 : 1,540.27 = 906.60 : x
  2. Step 2: Convert to fraction form
    1,117.09/1,540.27 = 906.60/x
  3. Step 3: Cross multiply
    1,117.09x = 1,540.27 × 906.60
  4. Step 4: Simplify right side
    1,117.09x = 1,396,415.69
  5. Step 5: Solve for x
    x = 1,396,415.69/1,117.09
  6. Step 6: Final answer
    x = 1,250.05

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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.