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Finding the Fourth Proportional to 1,085.48, 1,627.74 and 344.88

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Solution

The fourth proportional to 1,085.48, 1,627.74 and 344.88 is: 517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.48 : 1,627.74 = 344.88 : x
  2. Step 2: Convert to fraction form
    1,085.48/1,627.74 = 344.88/x
  3. Step 3: Cross multiply
    1,085.48x = 1,627.74 × 344.88
  4. Step 4: Simplify right side
    1,085.48x = 561,374.97
  5. Step 5: Solve for x
    x = 561,374.97/1,085.48
  6. Step 6: Final answer
    x = 517.17

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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.