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Finding the Fourth Proportional to 666.84, 998.08 and 491.10

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Solution

The fourth proportional to 666.84, 998.08 and 491.10 is: 735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 998.08 = 491.10 : x
  2. Step 2: Convert to fraction form
    666.84/998.08 = 491.10/x
  3. Step 3: Cross multiply
    666.84x = 998.08 × 491.10
  4. Step 4: Simplify right side
    666.84x = 490,157.09
  5. Step 5: Solve for x
    x = 490,157.09/666.84
  6. Step 6: Final answer
    x = 735.04

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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.