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Finding the Fourth Proportional to 1,263.64, 1,885.09 and 1,175.26

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Solution

The fourth proportional to 1,263.64, 1,885.09 and 1,175.26 is: 1,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.64 : 1,885.09 = 1,175.26 : x
  2. Step 2: Convert to fraction form
    1,263.64/1,885.09 = 1,175.26/x
  3. Step 3: Cross multiply
    1,263.64x = 1,885.09 × 1,175.26
  4. Step 4: Simplify right side
    1,263.64x = 2,215,470.87
  5. Step 5: Solve for x
    x = 2,215,470.87/1,263.64
  6. Step 6: Final answer
    x = 1,753.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.