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Finding the Fourth Proportional to 846.67, 1,270.49 and 456.67

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Solution

The fourth proportional to 846.67, 1,270.49 and 456.67 is: 685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.67 : 1,270.49 = 456.67 : x
  2. Step 2: Convert to fraction form
    846.67/1,270.49 = 456.67/x
  3. Step 3: Cross multiply
    846.67x = 1,270.49 × 456.67
  4. Step 4: Simplify right side
    846.67x = 580,197.40
  5. Step 5: Solve for x
    x = 580,197.40/846.67
  6. Step 6: Final answer
    x = 685.27

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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.