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Finding the Fourth Proportional to 1,367.78, 1,887.48 and 746.78

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Solution

The fourth proportional to 1,367.78, 1,887.48 and 746.78 is: 1,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.78 : 1,887.48 = 746.78 : x
  2. Step 2: Convert to fraction form
    1,367.78/1,887.48 = 746.78/x
  3. Step 3: Cross multiply
    1,367.78x = 1,887.48 × 746.78
  4. Step 4: Simplify right side
    1,367.78x = 1,409,532.31
  5. Step 5: Solve for x
    x = 1,409,532.31/1,367.78
  6. Step 6: Final answer
    x = 1,030.53

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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.