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Finding the Fourth Proportional to 1,369.86, 2,055.06 and 504.18

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Solution

The fourth proportional to 1,369.86, 2,055.06 and 504.18 is: 756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.86 : 2,055.06 = 504.18 : x
  2. Step 2: Convert to fraction form
    1,369.86/2,055.06 = 504.18/x
  3. Step 3: Cross multiply
    1,369.86x = 2,055.06 × 504.18
  4. Step 4: Simplify right side
    1,369.86x = 1,036,120.15
  5. Step 5: Solve for x
    x = 1,036,120.15/1,369.86
  6. Step 6: Final answer
    x = 756.37

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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.