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Finding the Fourth Proportional to 589.69, 884.93 and 585.13

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Solution

The fourth proportional to 589.69, 884.93 and 585.13 is: 878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 884.93 = 585.13 : x
  2. Step 2: Convert to fraction form
    589.69/884.93 = 585.13/x
  3. Step 3: Cross multiply
    589.69x = 884.93 × 585.13
  4. Step 4: Simplify right side
    589.69x = 517,799.09
  5. Step 5: Solve for x
    x = 517,799.09/589.69
  6. Step 6: Final answer
    x = 878.09

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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.