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Finding the Fourth Proportional to 1,033.35, 1,549.99 and 263.85

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Solution

The fourth proportional to 1,033.35, 1,549.99 and 263.85 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.35 : 1,549.99 = 263.85 : x
  2. Step 2: Convert to fraction form
    1,033.35/1,549.99 = 263.85/x
  3. Step 3: Cross multiply
    1,033.35x = 1,549.99 × 263.85
  4. Step 4: Simplify right side
    1,033.35x = 408,964.86
  5. Step 5: Solve for x
    x = 408,964.86/1,033.35
  6. Step 6: Final answer
    x = 395.77

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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.