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Finding the Fourth Proportional to 1,192.58, 1,646.49 and 944.90

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Solution

The fourth proportional to 1,192.58, 1,646.49 and 944.90 is: 1,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.58 : 1,646.49 = 944.90 : x
  2. Step 2: Convert to fraction form
    1,192.58/1,646.49 = 944.90/x
  3. Step 3: Cross multiply
    1,192.58x = 1,646.49 × 944.90
  4. Step 4: Simplify right side
    1,192.58x = 1,555,768.40
  5. Step 5: Solve for x
    x = 1,555,768.40/1,192.58
  6. Step 6: Final answer
    x = 1,304.54

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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.