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Finding the Fourth Proportional to 1,579.98, 2,369.97 and 484.77

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Solution

The fourth proportional to 1,579.98, 2,369.97 and 484.77 is: 727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.98 : 2,369.97 = 484.77 : x
  2. Step 2: Convert to fraction form
    1,579.98/2,369.97 = 484.77/x
  3. Step 3: Cross multiply
    1,579.98x = 2,369.97 × 484.77
  4. Step 4: Simplify right side
    1,579.98x = 1,148,890.36
  5. Step 5: Solve for x
    x = 1,148,890.36/1,579.98
  6. Step 6: Final answer
    x = 727.16

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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.