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Finding the Fourth Proportional to 652.12, 974.64 and 600.22

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Solution

The fourth proportional to 652.12, 974.64 and 600.22 is: 897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 974.64 = 600.22 : x
  2. Step 2: Convert to fraction form
    652.12/974.64 = 600.22/x
  3. Step 3: Cross multiply
    652.12x = 974.64 × 600.22
  4. Step 4: Simplify right side
    652.12x = 584,998.42
  5. Step 5: Solve for x
    x = 584,998.42/652.12
  6. Step 6: Final answer
    x = 897.07

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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.