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Finding the Fourth Proportional to 852.20, 1,177.98 and 784.16

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Solution

The fourth proportional to 852.20, 1,177.98 and 784.16 is: 1,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.20 : 1,177.98 = 784.16 : x
  2. Step 2: Convert to fraction form
    852.20/1,177.98 = 784.16/x
  3. Step 3: Cross multiply
    852.20x = 1,177.98 × 784.16
  4. Step 4: Simplify right side
    852.20x = 923,724.80
  5. Step 5: Solve for x
    x = 923,724.80/852.20
  6. Step 6: Final answer
    x = 1,083.93

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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.