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Finding the Fourth Proportional to 1,085.38, 1,628.05 and 263.66

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Solution

The fourth proportional to 1,085.38, 1,628.05 and 263.66 is: 395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.38 : 1,628.05 = 263.66 : x
  2. Step 2: Convert to fraction form
    1,085.38/1,628.05 = 263.66/x
  3. Step 3: Cross multiply
    1,085.38x = 1,628.05 × 263.66
  4. Step 4: Simplify right side
    1,085.38x = 429,251.99
  5. Step 5: Solve for x
    x = 429,251.99/1,085.38
  6. Step 6: Final answer
    x = 395.48

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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.