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Finding the Fourth Proportional to 1,559.07, 2,338.34 and 571.78

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Solution

The fourth proportional to 1,559.07, 2,338.34 and 571.78 is: 857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.07 : 2,338.34 = 571.78 : x
  2. Step 2: Convert to fraction form
    1,559.07/2,338.34 = 571.78/x
  3. Step 3: Cross multiply
    1,559.07x = 2,338.34 × 571.78
  4. Step 4: Simplify right side
    1,559.07x = 1,337,004.35
  5. Step 5: Solve for x
    x = 1,337,004.35/1,559.07
  6. Step 6: Final answer
    x = 857.57

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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.