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Finding the Fourth Proportional to 589.08, 884.09 and 584.53

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Solution

The fourth proportional to 589.08, 884.09 and 584.53 is: 877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.08 : 884.09 = 584.53 : x
  2. Step 2: Convert to fraction form
    589.08/884.09 = 584.53/x
  3. Step 3: Cross multiply
    589.08x = 884.09 × 584.53
  4. Step 4: Simplify right side
    589.08x = 516,777.13
  5. Step 5: Solve for x
    x = 516,777.13/589.08
  6. Step 6: Final answer
    x = 877.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.