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Finding the Fourth Proportional to 783.43, 1,081.89 and 670.75

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Solution

The fourth proportional to 783.43, 1,081.89 and 670.75 is: 926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.43 : 1,081.89 = 670.75 : x
  2. Step 2: Convert to fraction form
    783.43/1,081.89 = 670.75/x
  3. Step 3: Cross multiply
    783.43x = 1,081.89 × 670.75
  4. Step 4: Simplify right side
    783.43x = 725,675.01
  5. Step 5: Solve for x
    x = 725,675.01/783.43
  6. Step 6: Final answer
    x = 926.28

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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.