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Finding the Fourth Proportional to 1,179.83, 1,627.37 and 899.42

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Solution

The fourth proportional to 1,179.83, 1,627.37 and 899.42 is: 1,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.83 : 1,627.37 = 899.42 : x
  2. Step 2: Convert to fraction form
    1,179.83/1,627.37 = 899.42/x
  3. Step 3: Cross multiply
    1,179.83x = 1,627.37 × 899.42
  4. Step 4: Simplify right side
    1,179.83x = 1,463,683.24
  5. Step 5: Solve for x
    x = 1,463,683.24/1,179.83
  6. Step 6: Final answer
    x = 1,240.59

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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.