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Finding the Fourth Proportional to 1,589.57, 2,384.51 and 419.58

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Solution

The fourth proportional to 1,589.57, 2,384.51 and 419.58 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.57 : 2,384.51 = 419.58 : x
  2. Step 2: Convert to fraction form
    1,589.57/2,384.51 = 419.58/x
  3. Step 3: Cross multiply
    1,589.57x = 2,384.51 × 419.58
  4. Step 4: Simplify right side
    1,589.57x = 1,000,490.61
  5. Step 5: Solve for x
    x = 1,000,490.61/1,589.57
  6. Step 6: Final answer
    x = 629.41

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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.