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Finding the Fourth Proportional to 911.30, 1,364.62 and 602.20

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Solution

The fourth proportional to 911.30, 1,364.62 and 602.20 is: 901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.30 : 1,364.62 = 602.20 : x
  2. Step 2: Convert to fraction form
    911.30/1,364.62 = 602.20/x
  3. Step 3: Cross multiply
    911.30x = 1,364.62 × 602.20
  4. Step 4: Simplify right side
    911.30x = 821,774.16
  5. Step 5: Solve for x
    x = 821,774.16/911.30
  6. Step 6: Final answer
    x = 901.76

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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.