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Finding the Fourth Proportional to 1,388.62, 2,083.47 and 523

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Solution

The fourth proportional to 1,388.62, 2,083.47 and 523 is: 784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.62 : 2,083.47 = 523 : x
  2. Step 2: Convert to fraction form
    1,388.62/2,083.47 = 523/x
  3. Step 3: Cross multiply
    1,388.62x = 2,083.47 × 523
  4. Step 4: Simplify right side
    1,388.62x = 1,089,654.81
  5. Step 5: Solve for x
    x = 1,089,654.81/1,388.62
  6. Step 6: Final answer
    x = 784.70

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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.