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Finding the Fourth Proportional to 1,201.21, 1,801.91 and 470.78

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Solution

The fourth proportional to 1,201.21, 1,801.91 and 470.78 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.21 : 1,801.91 = 470.78 : x
  2. Step 2: Convert to fraction form
    1,201.21/1,801.91 = 470.78/x
  3. Step 3: Cross multiply
    1,201.21x = 1,801.91 × 470.78
  4. Step 4: Simplify right side
    1,201.21x = 848,303.19
  5. Step 5: Solve for x
    x = 848,303.19/1,201.21
  6. Step 6: Final answer
    x = 706.21

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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.