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Finding the Fourth Proportional to 1,111.94, 1,534.34 and 614.58

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Solution

The fourth proportional to 1,111.94, 1,534.34 and 614.58 is: 848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.94 : 1,534.34 = 614.58 : x
  2. Step 2: Convert to fraction form
    1,111.94/1,534.34 = 614.58/x
  3. Step 3: Cross multiply
    1,111.94x = 1,534.34 × 614.58
  4. Step 4: Simplify right side
    1,111.94x = 942,974.68
  5. Step 5: Solve for x
    x = 942,974.68/1,111.94
  6. Step 6: Final answer
    x = 848.04

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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.