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Finding the Fourth Proportional to 1,041.27, 1,564.33 and 985.29

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Solution

The fourth proportional to 1,041.27, 1,564.33 and 985.29 is: 1,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.27 : 1,564.33 = 985.29 : x
  2. Step 2: Convert to fraction form
    1,041.27/1,564.33 = 985.29/x
  3. Step 3: Cross multiply
    1,041.27x = 1,564.33 × 985.29
  4. Step 4: Simplify right side
    1,041.27x = 1,541,310.88
  5. Step 5: Solve for x
    x = 1,541,310.88/1,041.27
  6. Step 6: Final answer
    x = 1,480.22

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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.