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Finding the Fourth Proportional to 1,059.40, 1,589.34 and 442.99

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Solution

The fourth proportional to 1,059.40, 1,589.34 and 442.99 is: 664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.40 : 1,589.34 = 442.99 : x
  2. Step 2: Convert to fraction form
    1,059.40/1,589.34 = 442.99/x
  3. Step 3: Cross multiply
    1,059.40x = 1,589.34 × 442.99
  4. Step 4: Simplify right side
    1,059.40x = 704,061.73
  5. Step 5: Solve for x
    x = 704,061.73/1,059.40
  6. Step 6: Final answer
    x = 664.59

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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.