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Finding the Fourth Proportional to 1,085.94, 1,629.33 and 566.04

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Solution

The fourth proportional to 1,085.94, 1,629.33 and 566.04 is: 849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.94 : 1,629.33 = 566.04 : x
  2. Step 2: Convert to fraction form
    1,085.94/1,629.33 = 566.04/x
  3. Step 3: Cross multiply
    1,085.94x = 1,629.33 × 566.04
  4. Step 4: Simplify right side
    1,085.94x = 922,265.95
  5. Step 5: Solve for x
    x = 922,265.95/1,085.94
  6. Step 6: Final answer
    x = 849.28

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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.