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Finding the Fourth Proportional to 1,111.94, 1,533.96 and 719.09

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Solution

The fourth proportional to 1,111.94, 1,533.96 and 719.09 is: 992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.94 : 1,533.96 = 719.09 : x
  2. Step 2: Convert to fraction form
    1,111.94/1,533.96 = 719.09/x
  3. Step 3: Cross multiply
    1,111.94x = 1,533.96 × 719.09
  4. Step 4: Simplify right side
    1,111.94x = 1,103,047.63
  5. Step 5: Solve for x
    x = 1,103,047.63/1,111.94
  6. Step 6: Final answer
    x = 992.01

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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.