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Finding the Fourth Proportional to 1,294, 1,785.72 and 742

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Solution

The fourth proportional to 1,294, 1,785.72 and 742 is: 1,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294 : 1,785.72 = 742 : x
  2. Step 2: Convert to fraction form
    1,294/1,785.72 = 742/x
  3. Step 3: Cross multiply
    1,294x = 1,785.72 × 742
  4. Step 4: Simplify right side
    1,294x = 1,325,004.24
  5. Step 5: Solve for x
    x = 1,325,004.24/1,294
  6. Step 6: Final answer
    x = 1,023.96

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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.