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Finding the Fourth Proportional to 666.14, 918.36 and 561.65

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Solution

The fourth proportional to 666.14, 918.36 and 561.65 is: 774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.14 : 918.36 = 561.65 : x
  2. Step 2: Convert to fraction form
    666.14/918.36 = 561.65/x
  3. Step 3: Cross multiply
    666.14x = 918.36 × 561.65
  4. Step 4: Simplify right side
    666.14x = 515,796.89
  5. Step 5: Solve for x
    x = 515,796.89/666.14
  6. Step 6: Final answer
    x = 774.31

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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.