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Finding the Fourth Proportional to 1,120.41, 1,546.20 and 623.07

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Solution

The fourth proportional to 1,120.41, 1,546.20 and 623.07 is: 859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.41 : 1,546.20 = 623.07 : x
  2. Step 2: Convert to fraction form
    1,120.41/1,546.20 = 623.07/x
  3. Step 3: Cross multiply
    1,120.41x = 1,546.20 × 623.07
  4. Step 4: Simplify right side
    1,120.41x = 963,390.83
  5. Step 5: Solve for x
    x = 963,390.83/1,120.41
  6. Step 6: Final answer
    x = 859.86

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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.