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Finding the Fourth Proportional to 1,201.78, 1,802.20 and 471.19

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Solution

The fourth proportional to 1,201.78, 1,802.20 and 471.19 is: 706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.78 : 1,802.20 = 471.19 : x
  2. Step 2: Convert to fraction form
    1,201.78/1,802.20 = 471.19/x
  3. Step 3: Cross multiply
    1,201.78x = 1,802.20 × 471.19
  4. Step 4: Simplify right side
    1,201.78x = 849,178.62
  5. Step 5: Solve for x
    x = 849,178.62/1,201.78
  6. Step 6: Final answer
    x = 706.60

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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.