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Finding the Fourth Proportional to 1,294.11, 1,785.69 and 734.40

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Solution

The fourth proportional to 1,294.11, 1,785.69 and 734.40 is: 1,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.11 : 1,785.69 = 734.40 : x
  2. Step 2: Convert to fraction form
    1,294.11/1,785.69 = 734.40/x
  3. Step 3: Cross multiply
    1,294.11x = 1,785.69 × 734.40
  4. Step 4: Simplify right side
    1,294.11x = 1,311,410.74
  5. Step 5: Solve for x
    x = 1,311,410.74/1,294.11
  6. Step 6: Final answer
    x = 1,013.37

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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.