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Finding the Fourth Proportional to 837.69, 1,156.14 and 589.38

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Solution

The fourth proportional to 837.69, 1,156.14 and 589.38 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.69 : 1,156.14 = 589.38 : x
  2. Step 2: Convert to fraction form
    837.69/1,156.14 = 589.38/x
  3. Step 3: Cross multiply
    837.69x = 1,156.14 × 589.38
  4. Step 4: Simplify right side
    837.69x = 681,405.79
  5. Step 5: Solve for x
    x = 681,405.79/837.69
  6. Step 6: Final answer
    x = 813.43

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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.