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Finding the Fourth Proportional to 913.48, 1,370.23 and 523.22

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Solution

The fourth proportional to 913.48, 1,370.23 and 523.22 is: 784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.48 : 1,370.23 = 523.22 : x
  2. Step 2: Convert to fraction form
    913.48/1,370.23 = 523.22/x
  3. Step 3: Cross multiply
    913.48x = 1,370.23 × 523.22
  4. Step 4: Simplify right side
    913.48x = 716,923.25
  5. Step 5: Solve for x
    x = 716,923.25/913.48
  6. Step 6: Final answer
    x = 784.82

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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.