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Finding the Fourth Proportional to 961.59, 1,327.71 and 589.08

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Solution

The fourth proportional to 961.59, 1,327.71 and 589.08 is: 813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.59 : 1,327.71 = 589.08 : x
  2. Step 2: Convert to fraction form
    961.59/1,327.71 = 589.08/x
  3. Step 3: Cross multiply
    961.59x = 1,327.71 × 589.08
  4. Step 4: Simplify right side
    961.59x = 782,134.59
  5. Step 5: Solve for x
    x = 782,134.59/961.59
  6. Step 6: Final answer
    x = 813.37

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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.