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Finding the Fourth Proportional to 1,365.78, 1,884.72 and 744.78

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Solution

The fourth proportional to 1,365.78, 1,884.72 and 744.78 is: 1,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.78 : 1,884.72 = 744.78 : x
  2. Step 2: Convert to fraction form
    1,365.78/1,884.72 = 744.78/x
  3. Step 3: Cross multiply
    1,365.78x = 1,884.72 × 744.78
  4. Step 4: Simplify right side
    1,365.78x = 1,403,701.76
  5. Step 5: Solve for x
    x = 1,403,701.76/1,365.78
  6. Step 6: Final answer
    x = 1,027.77

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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.