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Finding the Fourth Proportional to 913.02, 1,369.73 and 523.21

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Solution

The fourth proportional to 913.02, 1,369.73 and 523.21 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.02 : 1,369.73 = 523.21 : x
  2. Step 2: Convert to fraction form
    913.02/1,369.73 = 523.21/x
  3. Step 3: Cross multiply
    913.02x = 1,369.73 × 523.21
  4. Step 4: Simplify right side
    913.02x = 716,656.43
  5. Step 5: Solve for x
    x = 716,656.43/913.02
  6. Step 6: Final answer
    x = 784.93

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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.