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Finding the Fourth Proportional to 1,344.70, 1,855.74 and 785.26

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Solution

The fourth proportional to 1,344.70, 1,855.74 and 785.26 is: 1,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.70 : 1,855.74 = 785.26 : x
  2. Step 2: Convert to fraction form
    1,344.70/1,855.74 = 785.26/x
  3. Step 3: Cross multiply
    1,344.70x = 1,855.74 × 785.26
  4. Step 4: Simplify right side
    1,344.70x = 1,457,238.39
  5. Step 5: Solve for x
    x = 1,457,238.39/1,344.70
  6. Step 6: Final answer
    x = 1,083.69

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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.