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Finding the Fourth Proportional to 1,365.56, 1,884.26 and 775.98

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Solution

The fourth proportional to 1,365.56, 1,884.26 and 775.98 is: 1,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.56 : 1,884.26 = 775.98 : x
  2. Step 2: Convert to fraction form
    1,365.56/1,884.26 = 775.98/x
  3. Step 3: Cross multiply
    1,365.56x = 1,884.26 × 775.98
  4. Step 4: Simplify right side
    1,365.56x = 1,462,150.01
  5. Step 5: Solve for x
    x = 1,462,150.01/1,365.56
  6. Step 6: Final answer
    x = 1,070.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.