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Finding the Fourth Proportional to 979.09, 1,468.71 and 285.77

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Solution

The fourth proportional to 979.09, 1,468.71 and 285.77 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.09 : 1,468.71 = 285.77 : x
  2. Step 2: Convert to fraction form
    979.09/1,468.71 = 285.77/x
  3. Step 3: Cross multiply
    979.09x = 1,468.71 × 285.77
  4. Step 4: Simplify right side
    979.09x = 419,713.26
  5. Step 5: Solve for x
    x = 419,713.26/979.09
  6. Step 6: Final answer
    x = 428.68

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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.