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Finding the Fourth Proportional to 666.74, 919.68 and 536.06

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Solution

The fourth proportional to 666.74, 919.68 and 536.06 is: 739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.74 : 919.68 = 536.06 : x
  2. Step 2: Convert to fraction form
    666.74/919.68 = 536.06/x
  3. Step 3: Cross multiply
    666.74x = 919.68 × 536.06
  4. Step 4: Simplify right side
    666.74x = 493,003.66
  5. Step 5: Solve for x
    x = 493,003.66/666.74
  6. Step 6: Final answer
    x = 739.42

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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.