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Finding the Fourth Proportional to 1,127.20, 1,549.56 and 969.25

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Solution

The fourth proportional to 1,127.20, 1,549.56 and 969.25 is: 1,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.20 : 1,549.56 = 969.25 : x
  2. Step 2: Convert to fraction form
    1,127.20/1,549.56 = 969.25/x
  3. Step 3: Cross multiply
    1,127.20x = 1,549.56 × 969.25
  4. Step 4: Simplify right side
    1,127.20x = 1,501,911.03
  5. Step 5: Solve for x
    x = 1,501,911.03/1,127.20
  6. Step 6: Final answer
    x = 1,332.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.