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Finding the Fourth Proportional to 785.07, 1,177.64 and 207.95

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Solution

The fourth proportional to 785.07, 1,177.64 and 207.95 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.07 : 1,177.64 = 207.95 : x
  2. Step 2: Convert to fraction form
    785.07/1,177.64 = 207.95/x
  3. Step 3: Cross multiply
    785.07x = 1,177.64 × 207.95
  4. Step 4: Simplify right side
    785.07x = 244,883.31
  5. Step 5: Solve for x
    x = 244,883.31/785.07
  6. Step 6: Final answer
    x = 311.93

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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.