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Finding the Fourth Proportional to 646.99, 969.13 and 628.53

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Solution

The fourth proportional to 646.99, 969.13 and 628.53 is: 941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.99 : 969.13 = 628.53 : x
  2. Step 2: Convert to fraction form
    646.99/969.13 = 628.53/x
  3. Step 3: Cross multiply
    646.99x = 969.13 × 628.53
  4. Step 4: Simplify right side
    646.99x = 609,124.43
  5. Step 5: Solve for x
    x = 609,124.43/646.99
  6. Step 6: Final answer
    x = 941.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.