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Finding the Fourth Proportional to 925.51, 1,270.52 and 794.29

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Solution

The fourth proportional to 925.51, 1,270.52 and 794.29 is: 1,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.51 : 1,270.52 = 794.29 : x
  2. Step 2: Convert to fraction form
    925.51/1,270.52 = 794.29/x
  3. Step 3: Cross multiply
    925.51x = 1,270.52 × 794.29
  4. Step 4: Simplify right side
    925.51x = 1,009,161.33
  5. Step 5: Solve for x
    x = 1,009,161.33/925.51
  6. Step 6: Final answer
    x = 1,090.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.