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Finding the Fourth Proportional to 600.68, 894.81 and 582.55

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Solution

The fourth proportional to 600.68, 894.81 and 582.55 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.68 : 894.81 = 582.55 : x
  2. Step 2: Convert to fraction form
    600.68/894.81 = 582.55/x
  3. Step 3: Cross multiply
    600.68x = 894.81 × 582.55
  4. Step 4: Simplify right side
    600.68x = 521,271.57
  5. Step 5: Solve for x
    x = 521,271.57/600.68
  6. Step 6: Final answer
    x = 867.80

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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.