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Finding the Fourth Proportional to 1,085.31, 1,627.91 and 354.79

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Solution

The fourth proportional to 1,085.31, 1,627.91 and 354.79 is: 532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.31 : 1,627.91 = 354.79 : x
  2. Step 2: Convert to fraction form
    1,085.31/1,627.91 = 354.79/x
  3. Step 3: Cross multiply
    1,085.31x = 1,627.91 × 354.79
  4. Step 4: Simplify right side
    1,085.31x = 577,556.28
  5. Step 5: Solve for x
    x = 577,556.28/1,085.31
  6. Step 6: Final answer
    x = 532.16

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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.