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Finding the Fourth Proportional to 1,389.02, 2,083.54 and 464.37

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Solution

The fourth proportional to 1,389.02, 2,083.54 and 464.37 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.02 : 2,083.54 = 464.37 : x
  2. Step 2: Convert to fraction form
    1,389.02/2,083.54 = 464.37/x
  3. Step 3: Cross multiply
    1,389.02x = 2,083.54 × 464.37
  4. Step 4: Simplify right side
    1,389.02x = 967,532.31
  5. Step 5: Solve for x
    x = 967,532.31/1,389.02
  6. Step 6: Final answer
    x = 696.56

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Why These Related Problems?

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