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Finding the Fourth Proportional to 643.02, 969.52 and 636.14

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Solution

The fourth proportional to 643.02, 969.52 and 636.14 is: 959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.02 : 969.52 = 636.14 : x
  2. Step 2: Convert to fraction form
    643.02/969.52 = 636.14/x
  3. Step 3: Cross multiply
    643.02x = 969.52 × 636.14
  4. Step 4: Simplify right side
    643.02x = 616,750.45
  5. Step 5: Solve for x
    x = 616,750.45/643.02
  6. Step 6: Final answer
    x = 959.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.