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Finding the Fourth Proportional to 1,069.86, 1,604.99 and 339.27

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Solution

The fourth proportional to 1,069.86, 1,604.99 and 339.27 is: 508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.86 : 1,604.99 = 339.27 : x
  2. Step 2: Convert to fraction form
    1,069.86/1,604.99 = 339.27/x
  3. Step 3: Cross multiply
    1,069.86x = 1,604.99 × 339.27
  4. Step 4: Simplify right side
    1,069.86x = 544,524.53
  5. Step 5: Solve for x
    x = 544,524.53/1,069.86
  6. Step 6: Final answer
    x = 508.97

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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.