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Finding the Fourth Proportional to 1,393.12, 2,090.56 and 527.36

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Solution

The fourth proportional to 1,393.12, 2,090.56 and 527.36 is: 791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.12 : 2,090.56 = 527.36 : x
  2. Step 2: Convert to fraction form
    1,393.12/2,090.56 = 527.36/x
  3. Step 3: Cross multiply
    1,393.12x = 2,090.56 × 527.36
  4. Step 4: Simplify right side
    1,393.12x = 1,102,477.72
  5. Step 5: Solve for x
    x = 1,102,477.72/1,393.12
  6. Step 6: Final answer
    x = 791.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.