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Finding the Fourth Proportional to 1,033.45, 1,550.17 and 263.95

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Solution

The fourth proportional to 1,033.45, 1,550.17 and 263.95 is: 395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.45 : 1,550.17 = 263.95 : x
  2. Step 2: Convert to fraction form
    1,033.45/1,550.17 = 263.95/x
  3. Step 3: Cross multiply
    1,033.45x = 1,550.17 × 263.95
  4. Step 4: Simplify right side
    1,033.45x = 409,159.62
  5. Step 5: Solve for x
    x = 409,159.62/1,033.45
  6. Step 6: Final answer
    x = 395.92

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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.