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Finding the Fourth Proportional to 955.21, 1,430.99 and 646.53

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Solution

The fourth proportional to 955.21, 1,430.99 and 646.53 is: 968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.21 : 1,430.99 = 646.53 : x
  2. Step 2: Convert to fraction form
    955.21/1,430.99 = 646.53/x
  3. Step 3: Cross multiply
    955.21x = 1,430.99 × 646.53
  4. Step 4: Simplify right side
    955.21x = 925,174.73
  5. Step 5: Solve for x
    x = 925,174.73/955.21
  6. Step 6: Final answer
    x = 968.56

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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.