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Finding the Fourth Proportional to 1,039.23, 1,559.79 and 552.69

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Solution

The fourth proportional to 1,039.23, 1,559.79 and 552.69 is: 829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.23 : 1,559.79 = 552.69 : x
  2. Step 2: Convert to fraction form
    1,039.23/1,559.79 = 552.69/x
  3. Step 3: Cross multiply
    1,039.23x = 1,559.79 × 552.69
  4. Step 4: Simplify right side
    1,039.23x = 862,080.34
  5. Step 5: Solve for x
    x = 862,080.34/1,039.23
  6. Step 6: Final answer
    x = 829.54

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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.