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Finding the Fourth Proportional to 1,120.89, 1,546.80 and 623.52

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Solution

The fourth proportional to 1,120.89, 1,546.80 and 623.52 is: 860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.89 : 1,546.80 = 623.52 : x
  2. Step 2: Convert to fraction form
    1,120.89/1,546.80 = 623.52/x
  3. Step 3: Cross multiply
    1,120.89x = 1,546.80 × 623.52
  4. Step 4: Simplify right side
    1,120.89x = 964,460.74
  5. Step 5: Solve for x
    x = 964,460.74/1,120.89
  6. Step 6: Final answer
    x = 860.44

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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.