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Finding the Fourth Proportional to 1,333.69, 1,840.47 and 774.15

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Solution

The fourth proportional to 1,333.69, 1,840.47 and 774.15 is: 1,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.69 : 1,840.47 = 774.15 : x
  2. Step 2: Convert to fraction form
    1,333.69/1,840.47 = 774.15/x
  3. Step 3: Cross multiply
    1,333.69x = 1,840.47 × 774.15
  4. Step 4: Simplify right side
    1,333.69x = 1,424,799.85
  5. Step 5: Solve for x
    x = 1,424,799.85/1,333.69
  6. Step 6: Final answer
    x = 1,068.31

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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.