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Finding the Fourth Proportional to 1,111.19, 1,533.40 and 613.85

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Solution

The fourth proportional to 1,111.19, 1,533.40 and 613.85 is: 847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.19 : 1,533.40 = 613.85 : x
  2. Step 2: Convert to fraction form
    1,111.19/1,533.40 = 613.85/x
  3. Step 3: Cross multiply
    1,111.19x = 1,533.40 × 613.85
  4. Step 4: Simplify right side
    1,111.19x = 941,268.39
  5. Step 5: Solve for x
    x = 941,268.39/1,111.19
  6. Step 6: Final answer
    x = 847.09

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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.