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Finding the Fourth Proportional to 704.51, 1,057.07 and 271.56

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Solution

The fourth proportional to 704.51, 1,057.07 and 271.56 is: 407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.51 : 1,057.07 = 271.56 : x
  2. Step 2: Convert to fraction form
    704.51/1,057.07 = 271.56/x
  3. Step 3: Cross multiply
    704.51x = 1,057.07 × 271.56
  4. Step 4: Simplify right side
    704.51x = 287,057.93
  5. Step 5: Solve for x
    x = 287,057.93/704.51
  6. Step 6: Final answer
    x = 407.46

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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.