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Finding the Fourth Proportional to 812.51, 1,219.97 and 784.16

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Solution

The fourth proportional to 812.51, 1,219.97 and 784.16 is: 1,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.51 : 1,219.97 = 784.16 : x
  2. Step 2: Convert to fraction form
    812.51/1,219.97 = 784.16/x
  3. Step 3: Cross multiply
    812.51x = 1,219.97 × 784.16
  4. Step 4: Simplify right side
    812.51x = 956,647.54
  5. Step 5: Solve for x
    x = 956,647.54/812.51
  6. Step 6: Final answer
    x = 1,177.41

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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.