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Finding the Fourth Proportional to 913.38, 1,368.92 and 523.71

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Solution

The fourth proportional to 913.38, 1,368.92 and 523.71 is: 784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.38 : 1,368.92 = 523.71 : x
  2. Step 2: Convert to fraction form
    913.38/1,368.92 = 523.71/x
  3. Step 3: Cross multiply
    913.38x = 1,368.92 × 523.71
  4. Step 4: Simplify right side
    913.38x = 716,914.47
  5. Step 5: Solve for x
    x = 716,914.47/913.38
  6. Step 6: Final answer
    x = 784.90

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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.