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Finding the Fourth Proportional to 653.23, 979.67 and 191.05

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Solution

The fourth proportional to 653.23, 979.67 and 191.05 is: 286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 979.67 = 191.05 : x
  2. Step 2: Convert to fraction form
    653.23/979.67 = 191.05/x
  3. Step 3: Cross multiply
    653.23x = 979.67 × 191.05
  4. Step 4: Simplify right side
    653.23x = 187,165.95
  5. Step 5: Solve for x
    x = 187,165.95/653.23
  6. Step 6: Final answer
    x = 286.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.