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Finding the Fourth Proportional to 1,263.98, 1,895.33 and 801.41

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Solution

The fourth proportional to 1,263.98, 1,895.33 and 801.41 is: 1,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.98 : 1,895.33 = 801.41 : x
  2. Step 2: Convert to fraction form
    1,263.98/1,895.33 = 801.41/x
  3. Step 3: Cross multiply
    1,263.98x = 1,895.33 × 801.41
  4. Step 4: Simplify right side
    1,263.98x = 1,518,922.93
  5. Step 5: Solve for x
    x = 1,518,922.93/1,263.98
  6. Step 6: Final answer
    x = 1,201.70

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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.