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Finding the Fourth Proportional to 1,333.61, 1,840.34 and 774.12

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Solution

The fourth proportional to 1,333.61, 1,840.34 and 774.12 is: 1,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.61 : 1,840.34 = 774.12 : x
  2. Step 2: Convert to fraction form
    1,333.61/1,840.34 = 774.12/x
  3. Step 3: Cross multiply
    1,333.61x = 1,840.34 × 774.12
  4. Step 4: Simplify right side
    1,333.61x = 1,424,640.13
  5. Step 5: Solve for x
    x = 1,424,640.13/1,333.61
  6. Step 6: Final answer
    x = 1,068.26

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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.