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Finding the Fourth Proportional to 1,093.97, 1,509.99 and 622.12

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Solution

The fourth proportional to 1,093.97, 1,509.99 and 622.12 is: 858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.97 : 1,509.99 = 622.12 : x
  2. Step 2: Convert to fraction form
    1,093.97/1,509.99 = 622.12/x
  3. Step 3: Cross multiply
    1,093.97x = 1,509.99 × 622.12
  4. Step 4: Simplify right side
    1,093.97x = 939,396.17
  5. Step 5: Solve for x
    x = 939,396.17/1,093.97
  6. Step 6: Final answer
    x = 858.70

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1.5x scale

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.