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Finding the Fourth Proportional to 652.93, 979.14 and 190.61

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Solution

The fourth proportional to 652.93, 979.14 and 190.61 is: 285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.93 : 979.14 = 190.61 : x
  2. Step 2: Convert to fraction form
    652.93/979.14 = 190.61/x
  3. Step 3: Cross multiply
    652.93x = 979.14 × 190.61
  4. Step 4: Simplify right side
    652.93x = 186,633.37
  5. Step 5: Solve for x
    x = 186,633.37/652.93
  6. Step 6: Final answer
    x = 285.84

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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.