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Finding the Fourth Proportional to 979.29, 1,468.53 and 614.79

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Solution

The fourth proportional to 979.29, 1,468.53 and 614.79 is: 921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.29 : 1,468.53 = 614.79 : x
  2. Step 2: Convert to fraction form
    979.29/1,468.53 = 614.79/x
  3. Step 3: Cross multiply
    979.29x = 1,468.53 × 614.79
  4. Step 4: Simplify right side
    979.29x = 902,837.56
  5. Step 5: Solve for x
    x = 902,837.56/979.29
  6. Step 6: Final answer
    x = 921.93

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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.