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Finding the Fourth Proportional to 1,589.75, 2,384.03 and 549.48

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Solution

The fourth proportional to 1,589.75, 2,384.03 and 549.48 is: 824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.75 : 2,384.03 = 549.48 : x
  2. Step 2: Convert to fraction form
    1,589.75/2,384.03 = 549.48/x
  3. Step 3: Cross multiply
    1,589.75x = 2,384.03 × 549.48
  4. Step 4: Simplify right side
    1,589.75x = 1,309,978.18
  5. Step 5: Solve for x
    x = 1,309,978.18/1,589.75
  6. Step 6: Final answer
    x = 824.02

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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.