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Finding the Fourth Proportional to 1,344.68, 1,855.57 and 785.33

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Solution

The fourth proportional to 1,344.68, 1,855.57 and 785.33 is: 1,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.68 : 1,855.57 = 785.33 : x
  2. Step 2: Convert to fraction form
    1,344.68/1,855.57 = 785.33/x
  3. Step 3: Cross multiply
    1,344.68x = 1,855.57 × 785.33
  4. Step 4: Simplify right side
    1,344.68x = 1,457,234.79
  5. Step 5: Solve for x
    x = 1,457,234.79/1,344.68
  6. Step 6: Final answer
    x = 1,083.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.