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Finding the Fourth Proportional to 1,120.40, 1,546.11 and 623.02

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Solution

The fourth proportional to 1,120.40, 1,546.11 and 623.02 is: 859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.40 : 1,546.11 = 623.02 : x
  2. Step 2: Convert to fraction form
    1,120.40/1,546.11 = 623.02/x
  3. Step 3: Cross multiply
    1,120.40x = 1,546.11 × 623.02
  4. Step 4: Simplify right side
    1,120.40x = 963,246.61
  5. Step 5: Solve for x
    x = 963,246.61/1,120.40
  6. Step 6: Final answer
    x = 859.73

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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.