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Finding the Fourth Proportional to 1,389.68, 2,083.57 and 523.25

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Solution

The fourth proportional to 1,389.68, 2,083.57 and 523.25 is: 784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.68 : 2,083.57 = 523.25 : x
  2. Step 2: Convert to fraction form
    1,389.68/2,083.57 = 523.25/x
  3. Step 3: Cross multiply
    1,389.68x = 2,083.57 × 523.25
  4. Step 4: Simplify right side
    1,389.68x = 1,090,228.00
  5. Step 5: Solve for x
    x = 1,090,228.00/1,389.68
  6. Step 6: Final answer
    x = 784.52

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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.