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Finding the Fourth Proportional to 1,276.12, 1,760.50 and 945.32

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Solution

The fourth proportional to 1,276.12, 1,760.50 and 945.32 is: 1,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.12 : 1,760.50 = 945.32 : x
  2. Step 2: Convert to fraction form
    1,276.12/1,760.50 = 945.32/x
  3. Step 3: Cross multiply
    1,276.12x = 1,760.50 × 945.32
  4. Step 4: Simplify right side
    1,276.12x = 1,664,235.86
  5. Step 5: Solve for x
    x = 1,664,235.86/1,276.12
  6. Step 6: Final answer
    x = 1,304.14

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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.