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Finding the Fourth Proportional to 1,090.07, 1,504.43 and 611.57

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Solution

The fourth proportional to 1,090.07, 1,504.43 and 611.57 is: 844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.07 : 1,504.43 = 611.57 : x
  2. Step 2: Convert to fraction form
    1,090.07/1,504.43 = 611.57/x
  3. Step 3: Cross multiply
    1,090.07x = 1,504.43 × 611.57
  4. Step 4: Simplify right side
    1,090.07x = 920,064.26
  5. Step 5: Solve for x
    x = 920,064.26/1,090.07
  6. Step 6: Final answer
    x = 844.04

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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.