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Finding the Fourth Proportional to 815.69, 1,125.83 and 484.16

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Solution

The fourth proportional to 815.69, 1,125.83 and 484.16 is: 668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.69 : 1,125.83 = 484.16 : x
  2. Step 2: Convert to fraction form
    815.69/1,125.83 = 484.16/x
  3. Step 3: Cross multiply
    815.69x = 1,125.83 × 484.16
  4. Step 4: Simplify right side
    815.69x = 545,077.43
  5. Step 5: Solve for x
    x = 545,077.43/815.69
  6. Step 6: Final answer
    x = 668.24

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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.