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Finding the Fourth Proportional to 661.60, 990.78 and 540.64

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Solution

The fourth proportional to 661.60, 990.78 and 540.64 is: 809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.60 : 990.78 = 540.64 : x
  2. Step 2: Convert to fraction form
    661.60/990.78 = 540.64/x
  3. Step 3: Cross multiply
    661.60x = 990.78 × 540.64
  4. Step 4: Simplify right side
    661.60x = 535,655.30
  5. Step 5: Solve for x
    x = 535,655.30/661.60
  6. Step 6: Final answer
    x = 809.64

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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.