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Finding the Fourth Proportional to 1,085.30, 1,627.49 and 354.48

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Solution

The fourth proportional to 1,085.30, 1,627.49 and 354.48 is: 531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.30 : 1,627.49 = 354.48 : x
  2. Step 2: Convert to fraction form
    1,085.30/1,627.49 = 354.48/x
  3. Step 3: Cross multiply
    1,085.30x = 1,627.49 × 354.48
  4. Step 4: Simplify right side
    1,085.30x = 576,907.44
  5. Step 5: Solve for x
    x = 576,907.44/1,085.30
  6. Step 6: Final answer
    x = 531.57

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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.