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Finding the Fourth Proportional to 1,194.48, 1,645.02 and 985.50

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Solution

The fourth proportional to 1,194.48, 1,645.02 and 985.50 is: 1,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.48 : 1,645.02 = 985.50 : x
  2. Step 2: Convert to fraction form
    1,194.48/1,645.02 = 985.50/x
  3. Step 3: Cross multiply
    1,194.48x = 1,645.02 × 985.50
  4. Step 4: Simplify right side
    1,194.48x = 1,621,167.21
  5. Step 5: Solve for x
    x = 1,621,167.21/1,194.48
  6. Step 6: Final answer
    x = 1,357.22

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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.