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Finding the Fourth Proportional to 981.42, 1,354.12 and 666.12

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Solution

The fourth proportional to 981.42, 1,354.12 and 666.12 is: 919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.42 : 1,354.12 = 666.12 : x
  2. Step 2: Convert to fraction form
    981.42/1,354.12 = 666.12/x
  3. Step 3: Cross multiply
    981.42x = 1,354.12 × 666.12
  4. Step 4: Simplify right side
    981.42x = 902,009.83
  5. Step 5: Solve for x
    x = 902,009.83/981.42
  6. Step 6: Final answer
    x = 919.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.