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Finding the Fourth Proportional to 784.88, 1,177.38 and 207.76

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Solution

The fourth proportional to 784.88, 1,177.38 and 207.76 is: 311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.88 : 1,177.38 = 207.76 : x
  2. Step 2: Convert to fraction form
    784.88/1,177.38 = 207.76/x
  3. Step 3: Cross multiply
    784.88x = 1,177.38 × 207.76
  4. Step 4: Simplify right side
    784.88x = 244,612.47
  5. Step 5: Solve for x
    x = 244,612.47/784.88
  6. Step 6: Final answer
    x = 311.66

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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.