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Finding the Fourth Proportional to 585.19, 872.61 and 545.47

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Solution

The fourth proportional to 585.19, 872.61 and 545.47 is: 813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.19 : 872.61 = 545.47 : x
  2. Step 2: Convert to fraction form
    585.19/872.61 = 545.47/x
  3. Step 3: Cross multiply
    585.19x = 872.61 × 545.47
  4. Step 4: Simplify right side
    585.19x = 475,982.58
  5. Step 5: Solve for x
    x = 475,982.58/585.19
  6. Step 6: Final answer
    x = 813.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.