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Finding the Fourth Proportional to 664.25, 989.78 and 591.55

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Solution

The fourth proportional to 664.25, 989.78 and 591.55 is: 881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.25 : 989.78 = 591.55 : x
  2. Step 2: Convert to fraction form
    664.25/989.78 = 591.55/x
  3. Step 3: Cross multiply
    664.25x = 989.78 × 591.55
  4. Step 4: Simplify right side
    664.25x = 585,501.40
  5. Step 5: Solve for x
    x = 585,501.40/664.25
  6. Step 6: Final answer
    x = 881.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.