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Finding the Fourth Proportional to 1,120.85, 1,546.77 and 623.50

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Solution

The fourth proportional to 1,120.85, 1,546.77 and 623.50 is: 860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.85 : 1,546.77 = 623.50 : x
  2. Step 2: Convert to fraction form
    1,120.85/1,546.77 = 623.50/x
  3. Step 3: Cross multiply
    1,120.85x = 1,546.77 × 623.50
  4. Step 4: Simplify right side
    1,120.85x = 964,403.36
  5. Step 5: Solve for x
    x = 964,403.36/1,120.85
  6. Step 6: Final answer
    x = 860.42

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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.