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Finding the Fourth Proportional to 1,151.84, 1,589.64 and 686

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Solution

The fourth proportional to 1,151.84, 1,589.64 and 686 is: 946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.84 : 1,589.64 = 686 : x
  2. Step 2: Convert to fraction form
    1,151.84/1,589.64 = 686/x
  3. Step 3: Cross multiply
    1,151.84x = 1,589.64 × 686
  4. Step 4: Simplify right side
    1,151.84x = 1,090,493.04
  5. Step 5: Solve for x
    x = 1,090,493.04/1,151.84
  6. Step 6: Final answer
    x = 946.74

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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.