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Finding the Fourth Proportional to 666.96, 993.77 and 594.21

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Solution

The fourth proportional to 666.96, 993.77 and 594.21 is: 885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.96 : 993.77 = 594.21 : x
  2. Step 2: Convert to fraction form
    666.96/993.77 = 594.21/x
  3. Step 3: Cross multiply
    666.96x = 993.77 × 594.21
  4. Step 4: Simplify right side
    666.96x = 590,508.07
  5. Step 5: Solve for x
    x = 590,508.07/666.96
  6. Step 6: Final answer
    x = 885.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.