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Finding the Fourth Proportional to 1,263.97, 1,895.35 and 737.07

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Solution

The fourth proportional to 1,263.97, 1,895.35 and 737.07 is: 1,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.97 : 1,895.35 = 737.07 : x
  2. Step 2: Convert to fraction form
    1,263.97/1,895.35 = 737.07/x
  3. Step 3: Cross multiply
    1,263.97x = 1,895.35 × 737.07
  4. Step 4: Simplify right side
    1,263.97x = 1,397,005.62
  5. Step 5: Solve for x
    x = 1,397,005.62/1,263.97
  6. Step 6: Final answer
    x = 1,105.25

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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.