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Finding the Fourth Proportional to 1,093.78, 1,509.59 and 621.89

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Solution

The fourth proportional to 1,093.78, 1,509.59 and 621.89 is: 858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.78 : 1,509.59 = 621.89 : x
  2. Step 2: Convert to fraction form
    1,093.78/1,509.59 = 621.89/x
  3. Step 3: Cross multiply
    1,093.78x = 1,509.59 × 621.89
  4. Step 4: Simplify right side
    1,093.78x = 938,792.93
  5. Step 5: Solve for x
    x = 938,792.93/1,093.78
  6. Step 6: Final answer
    x = 858.30

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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.