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Finding the Fourth Proportional to 1,190.79, 1,643.46 and 666.93

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Solution

The fourth proportional to 1,190.79, 1,643.46 and 666.93 is: 920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.79 : 1,643.46 = 666.93 : x
  2. Step 2: Convert to fraction form
    1,190.79/1,643.46 = 666.93/x
  3. Step 3: Cross multiply
    1,190.79x = 1,643.46 × 666.93
  4. Step 4: Simplify right side
    1,190.79x = 1,096,072.78
  5. Step 5: Solve for x
    x = 1,096,072.78/1,190.79
  6. Step 6: Final answer
    x = 920.46

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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.