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Finding the Fourth Proportional to 1,151.75, 1,589.57 and 686

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Solution

The fourth proportional to 1,151.75, 1,589.57 and 686 is: 946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.75 : 1,589.57 = 686 : x
  2. Step 2: Convert to fraction form
    1,151.75/1,589.57 = 686/x
  3. Step 3: Cross multiply
    1,151.75x = 1,589.57 × 686
  4. Step 4: Simplify right side
    1,151.75x = 1,090,445.02
  5. Step 5: Solve for x
    x = 1,090,445.02/1,151.75
  6. Step 6: Final answer
    x = 946.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.