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Finding the Fourth Proportional to 1,344.98, 1,855.91 and 785.59

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Solution

The fourth proportional to 1,344.98, 1,855.91 and 785.59 is: 1,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.98 : 1,855.91 = 785.59 : x
  2. Step 2: Convert to fraction form
    1,344.98/1,855.91 = 785.59/x
  3. Step 3: Cross multiply
    1,344.98x = 1,855.91 × 785.59
  4. Step 4: Simplify right side
    1,344.98x = 1,457,981.66
  5. Step 5: Solve for x
    x = 1,457,981.66/1,344.98
  6. Step 6: Final answer
    x = 1,084.02

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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.