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Finding the Fourth Proportional to 1,293.86, 1,785.56 and 704.41

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Solution

The fourth proportional to 1,293.86, 1,785.56 and 704.41 is: 972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.86 : 1,785.56 = 704.41 : x
  2. Step 2: Convert to fraction form
    1,293.86/1,785.56 = 704.41/x
  3. Step 3: Cross multiply
    1,293.86x = 1,785.56 × 704.41
  4. Step 4: Simplify right side
    1,293.86x = 1,257,758.33
  5. Step 5: Solve for x
    x = 1,257,758.33/1,293.86
  6. Step 6: Final answer
    x = 972.10

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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.