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Finding the Fourth Proportional to 1,593.32, 2,389.83 and 423.35

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Solution

The fourth proportional to 1,593.32, 2,389.83 and 423.35 is: 634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.32 : 2,389.83 = 423.35 : x
  2. Step 2: Convert to fraction form
    1,593.32/2,389.83 = 423.35/x
  3. Step 3: Cross multiply
    1,593.32x = 2,389.83 × 423.35
  4. Step 4: Simplify right side
    1,593.32x = 1,011,737.87
  5. Step 5: Solve for x
    x = 1,011,737.87/1,593.32
  6. Step 6: Final answer
    x = 634.99

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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.