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Finding the Fourth Proportional to 666.87, 998.91 and 536.16

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Solution

The fourth proportional to 666.87, 998.91 and 536.16 is: 803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.87 : 998.91 = 536.16 : x
  2. Step 2: Convert to fraction form
    666.87/998.91 = 536.16/x
  3. Step 3: Cross multiply
    666.87x = 998.91 × 536.16
  4. Step 4: Simplify right side
    666.87x = 535,572.48
  5. Step 5: Solve for x
    x = 535,572.48/666.87
  6. Step 6: Final answer
    x = 803.12

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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.