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Finding the Fourth Proportional to 1,121.06, 1,546.98 and 623.67

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Solution

The fourth proportional to 1,121.06, 1,546.98 and 623.67 is: 860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.06 : 1,546.98 = 623.67 : x
  2. Step 2: Convert to fraction form
    1,121.06/1,546.98 = 623.67/x
  3. Step 3: Cross multiply
    1,121.06x = 1,546.98 × 623.67
  4. Step 4: Simplify right side
    1,121.06x = 964,805.02
  5. Step 5: Solve for x
    x = 964,805.02/1,121.06
  6. Step 6: Final answer
    x = 860.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.