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Finding the Fourth Proportional to 1,119.10, 1,678.65 and 571.54

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Solution

The fourth proportional to 1,119.10, 1,678.65 and 571.54 is: 857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.10 : 1,678.65 = 571.54 : x
  2. Step 2: Convert to fraction form
    1,119.10/1,678.65 = 571.54/x
  3. Step 3: Cross multiply
    1,119.10x = 1,678.65 × 571.54
  4. Step 4: Simplify right side
    1,119.10x = 959,415.62
  5. Step 5: Solve for x
    x = 959,415.62/1,119.10
  6. Step 6: Final answer
    x = 857.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.