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Finding the Fourth Proportional to 979.55, 1,468.34 and 614.60

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Solution

The fourth proportional to 979.55, 1,468.34 and 614.60 is: 921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.55 : 1,468.34 = 614.60 : x
  2. Step 2: Convert to fraction form
    979.55/1,468.34 = 614.60/x
  3. Step 3: Cross multiply
    979.55x = 1,468.34 × 614.60
  4. Step 4: Simplify right side
    979.55x = 902,431.35
  5. Step 5: Solve for x
    x = 902,431.35/979.55
  6. Step 6: Final answer
    x = 921.27

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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.