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Finding the Fourth Proportional to 783.63, 1,179.69 and 704.25

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Solution

The fourth proportional to 783.63, 1,179.69 and 704.25 is: 1,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.63 : 1,179.69 = 704.25 : x
  2. Step 2: Convert to fraction form
    783.63/1,179.69 = 704.25/x
  3. Step 3: Cross multiply
    783.63x = 1,179.69 × 704.25
  4. Step 4: Simplify right side
    783.63x = 830,796.68
  5. Step 5: Solve for x
    x = 830,796.68/783.63
  6. Step 6: Final answer
    x = 1,060.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.