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Finding the Fourth Proportional to 1,094.03, 1,509.94 and 622.14

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Solution

The fourth proportional to 1,094.03, 1,509.94 and 622.14 is: 858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.03 : 1,509.94 = 622.14 : x
  2. Step 2: Convert to fraction form
    1,094.03/1,509.94 = 622.14/x
  3. Step 3: Cross multiply
    1,094.03x = 1,509.94 × 622.14
  4. Step 4: Simplify right side
    1,094.03x = 939,386.52
  5. Step 5: Solve for x
    x = 939,386.52/1,094.03
  6. Step 6: Final answer
    x = 858.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.