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Finding the Fourth Proportional to 802.22, 1,203.14 and 289.22

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Solution

The fourth proportional to 802.22, 1,203.14 and 289.22 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.22 : 1,203.14 = 289.22 : x
  2. Step 2: Convert to fraction form
    802.22/1,203.14 = 289.22/x
  3. Step 3: Cross multiply
    802.22x = 1,203.14 × 289.22
  4. Step 4: Simplify right side
    802.22x = 347,964.69
  5. Step 5: Solve for x
    x = 347,964.69/802.22
  6. Step 6: Final answer
    x = 433.75

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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.