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Finding the Fourth Proportional to 829.44, 1,235.52 and 810.54

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Solution

The fourth proportional to 829.44, 1,235.52 and 810.54 is: 1,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.44 : 1,235.52 = 810.54 : x
  2. Step 2: Convert to fraction form
    829.44/1,235.52 = 810.54/x
  3. Step 3: Cross multiply
    829.44x = 1,235.52 × 810.54
  4. Step 4: Simplify right side
    829.44x = 1,001,438.38
  5. Step 5: Solve for x
    x = 1,001,438.38/829.44
  6. Step 6: Final answer
    x = 1,207.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.