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Finding the Fourth Proportional to 661.37, 992.05 and 499.16

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Solution

The fourth proportional to 661.37, 992.05 and 499.16 is: 748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.37 : 992.05 = 499.16 : x
  2. Step 2: Convert to fraction form
    661.37/992.05 = 499.16/x
  3. Step 3: Cross multiply
    661.37x = 992.05 × 499.16
  4. Step 4: Simplify right side
    661.37x = 495,192.91
  5. Step 5: Solve for x
    x = 495,192.91/661.37
  6. Step 6: Final answer
    x = 748.74

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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.