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Finding the Fourth Proportional to 963.06, 1,327.06 and 664.40

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Solution

The fourth proportional to 963.06, 1,327.06 and 664.40 is: 915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.06 : 1,327.06 = 664.40 : x
  2. Step 2: Convert to fraction form
    963.06/1,327.06 = 664.40/x
  3. Step 3: Cross multiply
    963.06x = 1,327.06 × 664.40
  4. Step 4: Simplify right side
    963.06x = 881,698.66
  5. Step 5: Solve for x
    x = 881,698.66/963.06
  6. Step 6: Final answer
    x = 915.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.