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Finding the Fourth Proportional to 1,379.20, 2,068.20 and 405.10

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Solution

The fourth proportional to 1,379.20, 2,068.20 and 405.10 is: 607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.20 : 2,068.20 = 405.10 : x
  2. Step 2: Convert to fraction form
    1,379.20/2,068.20 = 405.10/x
  3. Step 3: Cross multiply
    1,379.20x = 2,068.20 × 405.10
  4. Step 4: Simplify right side
    1,379.20x = 837,827.82
  5. Step 5: Solve for x
    x = 837,827.82/1,379.20
  6. Step 6: Final answer
    x = 607.47

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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.