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Finding the Fourth Proportional to 979.97, 1,468.60 and 431.46

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Solution

The fourth proportional to 979.97, 1,468.60 and 431.46 is: 646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.97 : 1,468.60 = 431.46 : x
  2. Step 2: Convert to fraction form
    979.97/1,468.60 = 431.46/x
  3. Step 3: Cross multiply
    979.97x = 1,468.60 × 431.46
  4. Step 4: Simplify right side
    979.97x = 633,641.08
  5. Step 5: Solve for x
    x = 633,641.08/979.97
  6. Step 6: Final answer
    x = 646.60

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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.