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Finding the Fourth Proportional to 1,333.78, 1,840.36 and 774.28

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Solution

The fourth proportional to 1,333.78, 1,840.36 and 774.28 is: 1,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.78 : 1,840.36 = 774.28 : x
  2. Step 2: Convert to fraction form
    1,333.78/1,840.36 = 774.28/x
  3. Step 3: Cross multiply
    1,333.78x = 1,840.36 × 774.28
  4. Step 4: Simplify right side
    1,333.78x = 1,424,953.94
  5. Step 5: Solve for x
    x = 1,424,953.94/1,333.78
  6. Step 6: Final answer
    x = 1,068.36

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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.