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Finding the Fourth Proportional to 1,389.66, 2,083.02 and 464.34

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Solution

The fourth proportional to 1,389.66, 2,083.02 and 464.34 is: 696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.66 : 2,083.02 = 464.34 : x
  2. Step 2: Convert to fraction form
    1,389.66/2,083.02 = 464.34/x
  3. Step 3: Cross multiply
    1,389.66x = 2,083.02 × 464.34
  4. Step 4: Simplify right side
    1,389.66x = 967,229.51
  5. Step 5: Solve for x
    x = 967,229.51/1,389.66
  6. Step 6: Final answer
    x = 696.02

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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.