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Finding the Fourth Proportional to 940.42, 1,409.87 and 393.00

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Solution

The fourth proportional to 940.42, 1,409.87 and 393.00 is: 589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.42 : 1,409.87 = 393.00 : x
  2. Step 2: Convert to fraction form
    940.42/1,409.87 = 393.00/x
  3. Step 3: Cross multiply
    940.42x = 1,409.87 × 393.00
  4. Step 4: Simplify right side
    940.42x = 554,069.90
  5. Step 5: Solve for x
    x = 554,069.90/940.42
  6. Step 6: Final answer
    x = 589.17

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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.