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Finding the Fourth Proportional to 1,021.27, 1,527.72 and 816.25

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Solution

The fourth proportional to 1,021.27, 1,527.72 and 816.25 is: 1,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.27 : 1,527.72 = 816.25 : x
  2. Step 2: Convert to fraction form
    1,021.27/1,527.72 = 816.25/x
  3. Step 3: Cross multiply
    1,021.27x = 1,527.72 × 816.25
  4. Step 4: Simplify right side
    1,021.27x = 1,247,001.45
  5. Step 5: Solve for x
    x = 1,247,001.45/1,021.27
  6. Step 6: Final answer
    x = 1,221.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.