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Finding the Fourth Proportional to 647.15, 969.34 and 602.20

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Solution

The fourth proportional to 647.15, 969.34 and 602.20 is: 902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.15 : 969.34 = 602.20 : x
  2. Step 2: Convert to fraction form
    647.15/969.34 = 602.20/x
  3. Step 3: Cross multiply
    647.15x = 969.34 × 602.20
  4. Step 4: Simplify right side
    647.15x = 583,736.55
  5. Step 5: Solve for x
    x = 583,736.55/647.15
  6. Step 6: Final answer
    x = 902.01

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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.