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Finding the Fourth Proportional to 1,305.22, 1,957.62 and 427.71

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Solution

The fourth proportional to 1,305.22, 1,957.62 and 427.71 is: 641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.22 : 1,957.62 = 427.71 : x
  2. Step 2: Convert to fraction form
    1,305.22/1,957.62 = 427.71/x
  3. Step 3: Cross multiply
    1,305.22x = 1,957.62 × 427.71
  4. Step 4: Simplify right side
    1,305.22x = 837,293.65
  5. Step 5: Solve for x
    x = 837,293.65/1,305.22
  6. Step 6: Final answer
    x = 641.50

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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.