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Finding the Fourth Proportional to 693.23, 1,037.52 and 583.67

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Solution

The fourth proportional to 693.23, 1,037.52 and 583.67 is: 873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 1,037.52 = 583.67 : x
  2. Step 2: Convert to fraction form
    693.23/1,037.52 = 583.67/x
  3. Step 3: Cross multiply
    693.23x = 1,037.52 × 583.67
  4. Step 4: Simplify right side
    693.23x = 605,571.89
  5. Step 5: Solve for x
    x = 605,571.89/693.23
  6. Step 6: Final answer
    x = 873.56

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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.