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Finding the Fourth Proportional to 979.25, 1,468.95 and 285.92

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Solution

The fourth proportional to 979.25, 1,468.95 and 285.92 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.25 : 1,468.95 = 285.92 : x
  2. Step 2: Convert to fraction form
    979.25/1,468.95 = 285.92/x
  3. Step 3: Cross multiply
    979.25x = 1,468.95 × 285.92
  4. Step 4: Simplify right side
    979.25x = 419,994.84
  5. Step 5: Solve for x
    x = 419,994.84/979.25
  6. Step 6: Final answer
    x = 428.90

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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.