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Finding the Fourth Proportional to 1,085.50, 1,628.26 and 263.77

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Solution

The fourth proportional to 1,085.50, 1,628.26 and 263.77 is: 395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.50 : 1,628.26 = 263.77 : x
  2. Step 2: Convert to fraction form
    1,085.50/1,628.26 = 263.77/x
  3. Step 3: Cross multiply
    1,085.50x = 1,628.26 × 263.77
  4. Step 4: Simplify right side
    1,085.50x = 429,486.14
  5. Step 5: Solve for x
    x = 429,486.14/1,085.50
  6. Step 6: Final answer
    x = 395.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.