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Finding the Fourth Proportional to 1,120.55, 1,546.26 and 623.10

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Solution

The fourth proportional to 1,120.55, 1,546.26 and 623.10 is: 859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.55 : 1,546.26 = 623.10 : x
  2. Step 2: Convert to fraction form
    1,120.55/1,546.26 = 623.10/x
  3. Step 3: Cross multiply
    1,120.55x = 1,546.26 × 623.10
  4. Step 4: Simplify right side
    1,120.55x = 963,474.61
  5. Step 5: Solve for x
    x = 963,474.61/1,120.55
  6. Step 6: Final answer
    x = 859.83

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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.