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Finding the Fourth Proportional to 913.62, 1,369.14 and 523.03

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Solution

The fourth proportional to 913.62, 1,369.14 and 523.03 is: 783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.62 : 1,369.14 = 523.03 : x
  2. Step 2: Convert to fraction form
    913.62/1,369.14 = 523.03/x
  3. Step 3: Cross multiply
    913.62x = 1,369.14 × 523.03
  4. Step 4: Simplify right side
    913.62x = 716,101.29
  5. Step 5: Solve for x
    x = 716,101.29/913.62
  6. Step 6: Final answer
    x = 783.81

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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.