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Finding the Fourth Proportional to 1,090.38, 1,504.75 and 618.27

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Solution

The fourth proportional to 1,090.38, 1,504.75 and 618.27 is: 853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.38 : 1,504.75 = 618.27 : x
  2. Step 2: Convert to fraction form
    1,090.38/1,504.75 = 618.27/x
  3. Step 3: Cross multiply
    1,090.38x = 1,504.75 × 618.27
  4. Step 4: Simplify right side
    1,090.38x = 930,334.26
  5. Step 5: Solve for x
    x = 930,334.26/1,090.38
  6. Step 6: Final answer
    x = 853.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.