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Finding the Fourth Proportional to 1,388.63, 2,083.04 and 464.15

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Solution

The fourth proportional to 1,388.63, 2,083.04 and 464.15 is: 696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.63 : 2,083.04 = 464.15 : x
  2. Step 2: Convert to fraction form
    1,388.63/2,083.04 = 464.15/x
  3. Step 3: Cross multiply
    1,388.63x = 2,083.04 × 464.15
  4. Step 4: Simplify right side
    1,388.63x = 966,843.02
  5. Step 5: Solve for x
    x = 966,843.02/1,388.63
  6. Step 6: Final answer
    x = 696.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.