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Finding the Fourth Proportional to 832.96, 1,149.54 and 584.34

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Solution

The fourth proportional to 832.96, 1,149.54 and 584.34 is: 806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.96 : 1,149.54 = 584.34 : x
  2. Step 2: Convert to fraction form
    832.96/1,149.54 = 584.34/x
  3. Step 3: Cross multiply
    832.96x = 1,149.54 × 584.34
  4. Step 4: Simplify right side
    832.96x = 671,722.22
  5. Step 5: Solve for x
    x = 671,722.22/832.96
  6. Step 6: Final answer
    x = 806.43

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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.