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Finding the Fourth Proportional to 1,201.52, 1,657.84 and 704.14

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Solution

The fourth proportional to 1,201.52, 1,657.84 and 704.14 is: 971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.52 : 1,657.84 = 704.14 : x
  2. Step 2: Convert to fraction form
    1,201.52/1,657.84 = 704.14/x
  3. Step 3: Cross multiply
    1,201.52x = 1,657.84 × 704.14
  4. Step 4: Simplify right side
    1,201.52x = 1,167,351.46
  5. Step 5: Solve for x
    x = 1,167,351.46/1,201.52
  6. Step 6: Final answer
    x = 971.56

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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.