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Finding the Fourth Proportional to 1,293.78, 1,785.42 and 704.32

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Solution

The fourth proportional to 1,293.78, 1,785.42 and 704.32 is: 971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.78 : 1,785.42 = 704.32 : x
  2. Step 2: Convert to fraction form
    1,293.78/1,785.42 = 704.32/x
  3. Step 3: Cross multiply
    1,293.78x = 1,785.42 × 704.32
  4. Step 4: Simplify right side
    1,293.78x = 1,257,498.09
  5. Step 5: Solve for x
    x = 1,257,498.09/1,293.78
  6. Step 6: Final answer
    x = 971.96

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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.