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Finding the Fourth Proportional to 816.29, 1,125.96 and 484.48

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Solution

The fourth proportional to 816.29, 1,125.96 and 484.48 is: 668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.29 : 1,125.96 = 484.48 : x
  2. Step 2: Convert to fraction form
    816.29/1,125.96 = 484.48/x
  3. Step 3: Cross multiply
    816.29x = 1,125.96 × 484.48
  4. Step 4: Simplify right side
    816.29x = 545,502.29
  5. Step 5: Solve for x
    x = 545,502.29/816.29
  6. Step 6: Final answer
    x = 668.27

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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.