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Finding the Fourth Proportional to 940.56, 1,404.90 and 794.76

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Solution

The fourth proportional to 940.56, 1,404.90 and 794.76 is: 1,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.56 : 1,404.90 = 794.76 : x
  2. Step 2: Convert to fraction form
    940.56/1,404.90 = 794.76/x
  3. Step 3: Cross multiply
    940.56x = 1,404.90 × 794.76
  4. Step 4: Simplify right side
    940.56x = 1,116,558.32
  5. Step 5: Solve for x
    x = 1,116,558.32/940.56
  6. Step 6: Final answer
    x = 1,187.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.