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Finding the Fourth Proportional to 1,201.96, 1,801.94 and 509.17

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Solution

The fourth proportional to 1,201.96, 1,801.94 and 509.17 is: 763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.96 : 1,801.94 = 509.17 : x
  2. Step 2: Convert to fraction form
    1,201.96/1,801.94 = 509.17/x
  3. Step 3: Cross multiply
    1,201.96x = 1,801.94 × 509.17
  4. Step 4: Simplify right side
    1,201.96x = 917,488.65
  5. Step 5: Solve for x
    x = 917,488.65/1,201.96
  6. Step 6: Final answer
    x = 763.33

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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.