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Finding the Fourth Proportional to 802.16, 1,202.90 and 289.20

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Solution

The fourth proportional to 802.16, 1,202.90 and 289.20 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.16 : 1,202.90 = 289.20 : x
  2. Step 2: Convert to fraction form
    802.16/1,202.90 = 289.20/x
  3. Step 3: Cross multiply
    802.16x = 1,202.90 × 289.20
  4. Step 4: Simplify right side
    802.16x = 347,878.68
  5. Step 5: Solve for x
    x = 347,878.68/802.16
  6. Step 6: Final answer
    x = 433.68

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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.