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Finding the Fourth Proportional to 709.98, 1,059.33 and 693.54

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Solution

The fourth proportional to 709.98, 1,059.33 and 693.54 is: 1,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.98 : 1,059.33 = 693.54 : x
  2. Step 2: Convert to fraction form
    709.98/1,059.33 = 693.54/x
  3. Step 3: Cross multiply
    709.98x = 1,059.33 × 693.54
  4. Step 4: Simplify right side
    709.98x = 734,687.73
  5. Step 5: Solve for x
    x = 734,687.73/709.98
  6. Step 6: Final answer
    x = 1,034.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.