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Finding the Fourth Proportional to 940.44, 1,410.78 and 420.66

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Solution

The fourth proportional to 940.44, 1,410.78 and 420.66 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.44 : 1,410.78 = 420.66 : x
  2. Step 2: Convert to fraction form
    940.44/1,410.78 = 420.66/x
  3. Step 3: Cross multiply
    940.44x = 1,410.78 × 420.66
  4. Step 4: Simplify right side
    940.44x = 593,458.71
  5. Step 5: Solve for x
    x = 593,458.71/940.44
  6. Step 6: Final answer
    x = 631.04

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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.