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Finding the Fourth Proportional to 1,190.80, 1,643.12 and 666.64

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Solution

The fourth proportional to 1,190.80, 1,643.12 and 666.64 is: 919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.80 : 1,643.12 = 666.64 : x
  2. Step 2: Convert to fraction form
    1,190.80/1,643.12 = 666.64/x
  3. Step 3: Cross multiply
    1,190.80x = 1,643.12 × 666.64
  4. Step 4: Simplify right side
    1,190.80x = 1,095,369.52
  5. Step 5: Solve for x
    x = 1,095,369.52/1,190.80
  6. Step 6: Final answer
    x = 919.86

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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.