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Finding the Fourth Proportional to 940.56, 1,410.90 and 477.81

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Solution

The fourth proportional to 940.56, 1,410.90 and 477.81 is: 716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.56 : 1,410.90 = 477.81 : x
  2. Step 2: Convert to fraction form
    940.56/1,410.90 = 477.81/x
  3. Step 3: Cross multiply
    940.56x = 1,410.90 × 477.81
  4. Step 4: Simplify right side
    940.56x = 674,142.13
  5. Step 5: Solve for x
    x = 674,142.13/940.56
  6. Step 6: Final answer
    x = 716.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.