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Finding the Fourth Proportional to 1,085.34, 1,627.77 and 537.33

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Solution

The fourth proportional to 1,085.34, 1,627.77 and 537.33 is: 805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.34 : 1,627.77 = 537.33 : x
  2. Step 2: Convert to fraction form
    1,085.34/1,627.77 = 537.33/x
  3. Step 3: Cross multiply
    1,085.34x = 1,627.77 × 537.33
  4. Step 4: Simplify right side
    1,085.34x = 874,649.65
  5. Step 5: Solve for x
    x = 874,649.65/1,085.34
  6. Step 6: Final answer
    x = 805.88

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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.