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Finding the Fourth Proportional to 1,059.36, 1,589.13 and 366

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Solution

The fourth proportional to 1,059.36, 1,589.13 and 366 is: 549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.36 : 1,589.13 = 366 : x
  2. Step 2: Convert to fraction form
    1,059.36/1,589.13 = 366/x
  3. Step 3: Cross multiply
    1,059.36x = 1,589.13 × 366
  4. Step 4: Simplify right side
    1,059.36x = 581,621.58
  5. Step 5: Solve for x
    x = 581,621.58/1,059.36
  6. Step 6: Final answer
    x = 549.03

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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.