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Finding the Fourth Proportional to 1,085.37, 1,628.15 and 354.84

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Solution

The fourth proportional to 1,085.37, 1,628.15 and 354.84 is: 532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.37 : 1,628.15 = 354.84 : x
  2. Step 2: Convert to fraction form
    1,085.37/1,628.15 = 354.84/x
  3. Step 3: Cross multiply
    1,085.37x = 1,628.15 × 354.84
  4. Step 4: Simplify right side
    1,085.37x = 577,730.97
  5. Step 5: Solve for x
    x = 577,730.97/1,085.37
  6. Step 6: Final answer
    x = 532.29

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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.