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Finding the Fourth Proportional to 645.40, 966.90 and 602.20

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Solution

The fourth proportional to 645.40, 966.90 and 602.20 is: 902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.40 : 966.90 = 602.20 : x
  2. Step 2: Convert to fraction form
    645.40/966.90 = 602.20/x
  3. Step 3: Cross multiply
    645.40x = 966.90 × 602.20
  4. Step 4: Simplify right side
    645.40x = 582,267.18
  5. Step 5: Solve for x
    x = 582,267.18/645.40
  6. Step 6: Final answer
    x = 902.18

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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.