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Finding the Fourth Proportional to 940.85, 1,410.93 and 393.07

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Solution

The fourth proportional to 940.85, 1,410.93 and 393.07 is: 589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.85 : 1,410.93 = 393.07 : x
  2. Step 2: Convert to fraction form
    940.85/1,410.93 = 393.07/x
  3. Step 3: Cross multiply
    940.85x = 1,410.93 × 393.07
  4. Step 4: Simplify right side
    940.85x = 554,596.02
  5. Step 5: Solve for x
    x = 554,596.02/940.85
  6. Step 6: Final answer
    x = 589.46

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