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Finding the Fourth Proportional to 1,090.42, 1,505.25 and 758.72

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Solution

The fourth proportional to 1,090.42, 1,505.25 and 758.72 is: 1,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.42 : 1,505.25 = 758.72 : x
  2. Step 2: Convert to fraction form
    1,090.42/1,505.25 = 758.72/x
  3. Step 3: Cross multiply
    1,090.42x = 1,505.25 × 758.72
  4. Step 4: Simplify right side
    1,090.42x = 1,142,067.04
  5. Step 5: Solve for x
    x = 1,142,067.04/1,090.42
  6. Step 6: Final answer
    x = 1,047.37

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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.