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Finding the Fourth Proportional to 1,192.78, 1,645.99 and 661.65

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Solution

The fourth proportional to 1,192.78, 1,645.99 and 661.65 is: 913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.78 : 1,645.99 = 661.65 : x
  2. Step 2: Convert to fraction form
    1,192.78/1,645.99 = 661.65/x
  3. Step 3: Cross multiply
    1,192.78x = 1,645.99 × 661.65
  4. Step 4: Simplify right side
    1,192.78x = 1,089,069.28
  5. Step 5: Solve for x
    x = 1,089,069.28/1,192.78
  6. Step 6: Final answer
    x = 913.05

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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.