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Finding the Fourth Proportional to 589.69, 884.35 and 545.77

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Solution

The fourth proportional to 589.69, 884.35 and 545.77 is: 818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 884.35 = 545.77 : x
  2. Step 2: Convert to fraction form
    589.69/884.35 = 545.77/x
  3. Step 3: Cross multiply
    589.69x = 884.35 × 545.77
  4. Step 4: Simplify right side
    589.69x = 482,651.70
  5. Step 5: Solve for x
    x = 482,651.70/589.69
  6. Step 6: Final answer
    x = 818.48

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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.