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Finding the Fourth Proportional to 704.53, 1,057.07 and 271.59

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Solution

The fourth proportional to 704.53, 1,057.07 and 271.59 is: 407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.53 : 1,057.07 = 271.59 : x
  2. Step 2: Convert to fraction form
    704.53/1,057.07 = 271.59/x
  3. Step 3: Cross multiply
    704.53x = 1,057.07 × 271.59
  4. Step 4: Simplify right side
    704.53x = 287,089.64
  5. Step 5: Solve for x
    x = 287,089.64/704.53
  6. Step 6: Final answer
    x = 407.49

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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.