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Finding the Fourth Proportional to 1,389.11, 2,083.98 and 464.77

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Solution

The fourth proportional to 1,389.11, 2,083.98 and 464.77 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.11 : 2,083.98 = 464.77 : x
  2. Step 2: Convert to fraction form
    1,389.11/2,083.98 = 464.77/x
  3. Step 3: Cross multiply
    1,389.11x = 2,083.98 × 464.77
  4. Step 4: Simplify right side
    1,389.11x = 968,571.38
  5. Step 5: Solve for x
    x = 968,571.38/1,389.11
  6. Step 6: Final answer
    x = 697.26

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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.