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Finding the Fourth Proportional to 1,201.47, 1,802.21 and 289.47

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Solution

The fourth proportional to 1,201.47, 1,802.21 and 289.47 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.47 : 1,802.21 = 289.47 : x
  2. Step 2: Convert to fraction form
    1,201.47/1,802.21 = 289.47/x
  3. Step 3: Cross multiply
    1,201.47x = 1,802.21 × 289.47
  4. Step 4: Simplify right side
    1,201.47x = 521,684.28
  5. Step 5: Solve for x
    x = 521,684.28/1,201.47
  6. Step 6: Final answer
    x = 434.21

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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.