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Finding the Fourth Proportional to 1,201.75, 1,802.62 and 471.23

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Solution

The fourth proportional to 1,201.75, 1,802.62 and 471.23 is: 706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.75 : 1,802.62 = 471.23 : x
  2. Step 2: Convert to fraction form
    1,201.75/1,802.62 = 471.23/x
  3. Step 3: Cross multiply
    1,201.75x = 1,802.62 × 471.23
  4. Step 4: Simplify right side
    1,201.75x = 849,439.61
  5. Step 5: Solve for x
    x = 849,439.61/1,201.75
  6. Step 6: Final answer
    x = 706.84

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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.