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Finding the Fourth Proportional to 1,085.29, 1,627.83 and 305.21

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Solution

The fourth proportional to 1,085.29, 1,627.83 and 305.21 is: 457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.29 : 1,627.83 = 305.21 : x
  2. Step 2: Convert to fraction form
    1,085.29/1,627.83 = 305.21/x
  3. Step 3: Cross multiply
    1,085.29x = 1,627.83 × 305.21
  4. Step 4: Simplify right side
    1,085.29x = 496,829.99
  5. Step 5: Solve for x
    x = 496,829.99/1,085.29
  6. Step 6: Final answer
    x = 457.79

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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.