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Finding the Fourth Proportional to 943.04, 1,412.44 and 455.22

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Solution

The fourth proportional to 943.04, 1,412.44 and 455.22 is: 681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.04 : 1,412.44 = 455.22 : x
  2. Step 2: Convert to fraction form
    943.04/1,412.44 = 455.22/x
  3. Step 3: Cross multiply
    943.04x = 1,412.44 × 455.22
  4. Step 4: Simplify right side
    943.04x = 642,969.80
  5. Step 5: Solve for x
    x = 642,969.80/943.04
  6. Step 6: Final answer
    x = 681.80

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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.