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Finding the Fourth Proportional to 1,039.26, 1,559.34 and 552.19

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Solution

The fourth proportional to 1,039.26, 1,559.34 and 552.19 is: 828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.26 : 1,559.34 = 552.19 : x
  2. Step 2: Convert to fraction form
    1,039.26/1,559.34 = 552.19/x
  3. Step 3: Cross multiply
    1,039.26x = 1,559.34 × 552.19
  4. Step 4: Simplify right side
    1,039.26x = 861,048.06
  5. Step 5: Solve for x
    x = 861,048.06/1,039.26
  6. Step 6: Final answer
    x = 828.52

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Why These Related Problems?

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