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Finding the Fourth Proportional to 1,013, 1,397.96 and 593.64

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Solution

The fourth proportional to 1,013, 1,397.96 and 593.64 is: 819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013 : 1,397.96 = 593.64 : x
  2. Step 2: Convert to fraction form
    1,013/1,397.96 = 593.64/x
  3. Step 3: Cross multiply
    1,013x = 1,397.96 × 593.64
  4. Step 4: Simplify right side
    1,013x = 829,884.97
  5. Step 5: Solve for x
    x = 829,884.97/1,013
  6. Step 6: Final answer
    x = 819.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.