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Finding the Fourth Proportional to 1,013, 1,397.93 and 593.57

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Solution

The fourth proportional to 1,013, 1,397.93 and 593.57 is: 819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013 : 1,397.93 = 593.57 : x
  2. Step 2: Convert to fraction form
    1,013/1,397.93 = 593.57/x
  3. Step 3: Cross multiply
    1,013x = 1,397.93 × 593.57
  4. Step 4: Simplify right side
    1,013x = 829,769.31
  5. Step 5: Solve for x
    x = 829,769.31/1,013
  6. Step 6: Final answer
    x = 819.12

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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.