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Finding the Fourth Proportional to 1,085.66, 1,627.98 and 537.63

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Solution

The fourth proportional to 1,085.66, 1,627.98 and 537.63 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.66 : 1,627.98 = 537.63 : x
  2. Step 2: Convert to fraction form
    1,085.66/1,627.98 = 537.63/x
  3. Step 3: Cross multiply
    1,085.66x = 1,627.98 × 537.63
  4. Step 4: Simplify right side
    1,085.66x = 875,250.89
  5. Step 5: Solve for x
    x = 875,250.89/1,085.66
  6. Step 6: Final answer
    x = 806.19

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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.