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Finding the Fourth Proportional to 1,085.17, 1,627.51 and 305.23

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Solution

The fourth proportional to 1,085.17, 1,627.51 and 305.23 is: 457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.17 : 1,627.51 = 305.23 : x
  2. Step 2: Convert to fraction form
    1,085.17/1,627.51 = 305.23/x
  3. Step 3: Cross multiply
    1,085.17x = 1,627.51 × 305.23
  4. Step 4: Simplify right side
    1,085.17x = 496,764.88
  5. Step 5: Solve for x
    x = 496,764.88/1,085.17
  6. Step 6: Final answer
    x = 457.78

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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.