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Finding the Fourth Proportional to 1,090.30, 1,504.77 and 618.22

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Solution

The fourth proportional to 1,090.30, 1,504.77 and 618.22 is: 853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.30 : 1,504.77 = 618.22 : x
  2. Step 2: Convert to fraction form
    1,090.30/1,504.77 = 618.22/x
  3. Step 3: Cross multiply
    1,090.30x = 1,504.77 × 618.22
  4. Step 4: Simplify right side
    1,090.30x = 930,278.91
  5. Step 5: Solve for x
    x = 930,278.91/1,090.30
  6. Step 6: Final answer
    x = 853.23

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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.