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Finding the Fourth Proportional to 660.18, 989.55 and 454.80

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Solution

The fourth proportional to 660.18, 989.55 and 454.80 is: 681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.18 : 989.55 = 454.80 : x
  2. Step 2: Convert to fraction form
    660.18/989.55 = 454.80/x
  3. Step 3: Cross multiply
    660.18x = 989.55 × 454.80
  4. Step 4: Simplify right side
    660.18x = 450,047.34
  5. Step 5: Solve for x
    x = 450,047.34/660.18
  6. Step 6: Final answer
    x = 681.70

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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.