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Finding the Fourth Proportional to 961.53, 1,326.87 and 589.14

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Solution

The fourth proportional to 961.53, 1,326.87 and 589.14 is: 812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.53 : 1,326.87 = 589.14 : x
  2. Step 2: Convert to fraction form
    961.53/1,326.87 = 589.14/x
  3. Step 3: Cross multiply
    961.53x = 1,326.87 × 589.14
  4. Step 4: Simplify right side
    961.53x = 781,712.19
  5. Step 5: Solve for x
    x = 781,712.19/961.53
  6. Step 6: Final answer
    x = 812.99

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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.