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Finding the Fourth Proportional to 1,093.64, 1,509.51 and 621.81

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Solution

The fourth proportional to 1,093.64, 1,509.51 and 621.81 is: 858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.64 : 1,509.51 = 621.81 : x
  2. Step 2: Convert to fraction form
    1,093.64/1,509.51 = 621.81/x
  3. Step 3: Cross multiply
    1,093.64x = 1,509.51 × 621.81
  4. Step 4: Simplify right side
    1,093.64x = 938,637.33
  5. Step 5: Solve for x
    x = 938,637.33/1,093.64
  6. Step 6: Final answer
    x = 858.27

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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.