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Finding the Fourth Proportional to 1,589.92, 2,385.50 and 723.63

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Solution

The fourth proportional to 1,589.92, 2,385.50 and 723.63 is: 1,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.92 : 2,385.50 = 723.63 : x
  2. Step 2: Convert to fraction form
    1,589.92/2,385.50 = 723.63/x
  3. Step 3: Cross multiply
    1,589.92x = 2,385.50 × 723.63
  4. Step 4: Simplify right side
    1,589.92x = 1,726,219.37
  5. Step 5: Solve for x
    x = 1,726,219.37/1,589.92
  6. Step 6: Final answer
    x = 1,085.73

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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.