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Finding the Fourth Proportional to 979.70, 1,468.86 and 394.80

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Solution

The fourth proportional to 979.70, 1,468.86 and 394.80 is: 591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.70 : 1,468.86 = 394.80 : x
  2. Step 2: Convert to fraction form
    979.70/1,468.86 = 394.80/x
  3. Step 3: Cross multiply
    979.70x = 1,468.86 × 394.80
  4. Step 4: Simplify right side
    979.70x = 579,905.93
  5. Step 5: Solve for x
    x = 579,905.93/979.70
  6. Step 6: Final answer
    x = 591.92

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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.