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Finding the Fourth Proportional to 1,589.96, 2,384.96 and 494.30

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Solution

The fourth proportional to 1,589.96, 2,384.96 and 494.30 is: 741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.96 : 2,384.96 = 494.30 : x
  2. Step 2: Convert to fraction form
    1,589.96/2,384.96 = 494.30/x
  3. Step 3: Cross multiply
    1,589.96x = 2,384.96 × 494.30
  4. Step 4: Simplify right side
    1,589.96x = 1,178,885.73
  5. Step 5: Solve for x
    x = 1,178,885.73/1,589.96
  6. Step 6: Final answer
    x = 741.46

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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.