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Finding the Fourth Proportional to 1,379.46, 2,069.17 and 339.47

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Solution

The fourth proportional to 1,379.46, 2,069.17 and 339.47 is: 509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.46 : 2,069.17 = 339.47 : x
  2. Step 2: Convert to fraction form
    1,379.46/2,069.17 = 339.47/x
  3. Step 3: Cross multiply
    1,379.46x = 2,069.17 × 339.47
  4. Step 4: Simplify right side
    1,379.46x = 702,421.14
  5. Step 5: Solve for x
    x = 702,421.14/1,379.46
  6. Step 6: Final answer
    x = 509.20

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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.