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Finding the Fourth Proportional to 693.67, 1,035.43 and 611.67

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Solution

The fourth proportional to 693.67, 1,035.43 and 611.67 is: 913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.67 : 1,035.43 = 611.67 : x
  2. Step 2: Convert to fraction form
    693.67/1,035.43 = 611.67/x
  3. Step 3: Cross multiply
    693.67x = 1,035.43 × 611.67
  4. Step 4: Simplify right side
    693.67x = 633,341.47
  5. Step 5: Solve for x
    x = 633,341.47/693.67
  6. Step 6: Final answer
    x = 913.03

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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.