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Finding the Fourth Proportional to 1,119.40, 1,544.74 and 622.00

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Solution

The fourth proportional to 1,119.40, 1,544.74 and 622.00 is: 858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.40 : 1,544.74 = 622.00 : x
  2. Step 2: Convert to fraction form
    1,119.40/1,544.74 = 622.00/x
  3. Step 3: Cross multiply
    1,119.40x = 1,544.74 × 622.00
  4. Step 4: Simplify right side
    1,119.40x = 960,828.66
  5. Step 5: Solve for x
    x = 960,828.66/1,119.40
  6. Step 6: Final answer
    x = 858.34

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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.