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Finding the Fourth Proportional to 832.67, 1,149.09 and 459.68

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Solution

The fourth proportional to 832.67, 1,149.09 and 459.68 is: 634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.67 : 1,149.09 = 459.68 : x
  2. Step 2: Convert to fraction form
    832.67/1,149.09 = 459.68/x
  3. Step 3: Cross multiply
    832.67x = 1,149.09 × 459.68
  4. Step 4: Simplify right side
    832.67x = 528,215.27
  5. Step 5: Solve for x
    x = 528,215.27/832.67
  6. Step 6: Final answer
    x = 634.36

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1.5x scale

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.