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Finding the Fourth Proportional to 1,095.01, 1,511.06 and 622.85

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Solution

The fourth proportional to 1,095.01, 1,511.06 and 622.85 is: 859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.01 : 1,511.06 = 622.85 : x
  2. Step 2: Convert to fraction form
    1,095.01/1,511.06 = 622.85/x
  3. Step 3: Cross multiply
    1,095.01x = 1,511.06 × 622.85
  4. Step 4: Simplify right side
    1,095.01x = 941,153.05
  5. Step 5: Solve for x
    x = 941,153.05/1,095.01
  6. Step 6: Final answer
    x = 859.49

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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.