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Finding the Fourth Proportional to 784.83, 1,177.16 and 207.69

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Solution

The fourth proportional to 784.83, 1,177.16 and 207.69 is: 311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.83 : 1,177.16 = 207.69 : x
  2. Step 2: Convert to fraction form
    784.83/1,177.16 = 207.69/x
  3. Step 3: Cross multiply
    784.83x = 1,177.16 × 207.69
  4. Step 4: Simplify right side
    784.83x = 244,483.32
  5. Step 5: Solve for x
    x = 244,483.32/784.83
  6. Step 6: Final answer
    x = 311.51

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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.