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Finding the Fourth Proportional to 1,085.92, 1,629.12 and 538.24

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Solution

The fourth proportional to 1,085.92, 1,629.12 and 538.24 is: 807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.92 : 1,629.12 = 538.24 : x
  2. Step 2: Convert to fraction form
    1,085.92/1,629.12 = 538.24/x
  3. Step 3: Cross multiply
    1,085.92x = 1,629.12 × 538.24
  4. Step 4: Simplify right side
    1,085.92x = 876,857.55
  5. Step 5: Solve for x
    x = 876,857.55/1,085.92
  6. Step 6: Final answer
    x = 807.48

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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.