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Finding the Fourth Proportional to 1,085.71, 1,627.41 and 355.09

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Solution

The fourth proportional to 1,085.71, 1,627.41 and 355.09 is: 532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.71 : 1,627.41 = 355.09 : x
  2. Step 2: Convert to fraction form
    1,085.71/1,627.41 = 355.09/x
  3. Step 3: Cross multiply
    1,085.71x = 1,627.41 × 355.09
  4. Step 4: Simplify right side
    1,085.71x = 577,868.88
  5. Step 5: Solve for x
    x = 577,868.88/1,085.71
  6. Step 6: Final answer
    x = 532.25

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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.