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Finding the Fourth Proportional to 738.70, 1,020.26 and 589.82

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Solution

The fourth proportional to 738.70, 1,020.26 and 589.82 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.70 : 1,020.26 = 589.82 : x
  2. Step 2: Convert to fraction form
    738.70/1,020.26 = 589.82/x
  3. Step 3: Cross multiply
    738.70x = 1,020.26 × 589.82
  4. Step 4: Simplify right side
    738.70x = 601,769.75
  5. Step 5: Solve for x
    x = 601,769.75/738.70
  6. Step 6: Final answer
    x = 814.63

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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.