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Finding the Fourth Proportional to 1,110.94, 1,533.12 and 613.57

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Solution

The fourth proportional to 1,110.94, 1,533.12 and 613.57 is: 846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.94 : 1,533.12 = 613.57 : x
  2. Step 2: Convert to fraction form
    1,110.94/1,533.12 = 613.57/x
  3. Step 3: Cross multiply
    1,110.94x = 1,533.12 × 613.57
  4. Step 4: Simplify right side
    1,110.94x = 940,680.27
  5. Step 5: Solve for x
    x = 940,680.27/1,110.94
  6. Step 6: Final answer
    x = 846.75

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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.