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Finding the Fourth Proportional to 652.83, 979.14 and 190.48

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Solution

The fourth proportional to 652.83, 979.14 and 190.48 is: 285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.83 : 979.14 = 190.48 : x
  2. Step 2: Convert to fraction form
    652.83/979.14 = 190.48/x
  3. Step 3: Cross multiply
    652.83x = 979.14 × 190.48
  4. Step 4: Simplify right side
    652.83x = 186,506.52
  5. Step 5: Solve for x
    x = 186,506.52/652.83
  6. Step 6: Final answer
    x = 285.69

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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.