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Finding the Fourth Proportional to 1,120.66, 1,546.43 and 623.28

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Solution

The fourth proportional to 1,120.66, 1,546.43 and 623.28 is: 860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.66 : 1,546.43 = 623.28 : x
  2. Step 2: Convert to fraction form
    1,120.66/1,546.43 = 623.28/x
  3. Step 3: Cross multiply
    1,120.66x = 1,546.43 × 623.28
  4. Step 4: Simplify right side
    1,120.66x = 963,858.89
  5. Step 5: Solve for x
    x = 963,858.89/1,120.66
  6. Step 6: Final answer
    x = 860.08

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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.