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Finding the Fourth Proportional to 1,270.27, 1,753.41 and 975.16

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Solution

The fourth proportional to 1,270.27, 1,753.41 and 975.16 is: 1,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.27 : 1,753.41 = 975.16 : x
  2. Step 2: Convert to fraction form
    1,270.27/1,753.41 = 975.16/x
  3. Step 3: Cross multiply
    1,270.27x = 1,753.41 × 975.16
  4. Step 4: Simplify right side
    1,270.27x = 1,709,855.30
  5. Step 5: Solve for x
    x = 1,709,855.30/1,270.27
  6. Step 6: Final answer
    x = 1,346.06

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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.