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Finding the Fourth Proportional to 784.95, 1,177.47 and 207.82

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Solution

The fourth proportional to 784.95, 1,177.47 and 207.82 is: 311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.95 : 1,177.47 = 207.82 : x
  2. Step 2: Convert to fraction form
    784.95/1,177.47 = 207.82/x
  3. Step 3: Cross multiply
    784.95x = 1,177.47 × 207.82
  4. Step 4: Simplify right side
    784.95x = 244,701.82
  5. Step 5: Solve for x
    x = 244,701.82/784.95
  6. Step 6: Final answer
    x = 311.74

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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.