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Finding the Fourth Proportional to 1,085.44, 1,628.42 and 355.03

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Solution

The fourth proportional to 1,085.44, 1,628.42 and 355.03 is: 532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.44 : 1,628.42 = 355.03 : x
  2. Step 2: Convert to fraction form
    1,085.44/1,628.42 = 355.03/x
  3. Step 3: Cross multiply
    1,085.44x = 1,628.42 × 355.03
  4. Step 4: Simplify right side
    1,085.44x = 578,137.95
  5. Step 5: Solve for x
    x = 578,137.95/1,085.44
  6. Step 6: Final answer
    x = 532.63

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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.