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Finding the Fourth Proportional to 784.94, 1,177.29 and 207.86

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Solution

The fourth proportional to 784.94, 1,177.29 and 207.86 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.94 : 1,177.29 = 207.86 : x
  2. Step 2: Convert to fraction form
    784.94/1,177.29 = 207.86/x
  3. Step 3: Cross multiply
    784.94x = 1,177.29 × 207.86
  4. Step 4: Simplify right side
    784.94x = 244,711.50
  5. Step 5: Solve for x
    x = 244,711.50/784.94
  6. Step 6: Final answer
    x = 311.76

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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.