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Finding the Fourth Proportional to 1,094.19, 1,509.93 and 622.08

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Solution

The fourth proportional to 1,094.19, 1,509.93 and 622.08 is: 858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.19 : 1,509.93 = 622.08 : x
  2. Step 2: Convert to fraction form
    1,094.19/1,509.93 = 622.08/x
  3. Step 3: Cross multiply
    1,094.19x = 1,509.93 × 622.08
  4. Step 4: Simplify right side
    1,094.19x = 939,297.92
  5. Step 5: Solve for x
    x = 939,297.92/1,094.19
  6. Step 6: Final answer
    x = 858.44

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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.