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Finding the Fourth Proportional to 785.34, 1,178.01 and 208.21

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Solution

The fourth proportional to 785.34, 1,178.01 and 208.21 is: 312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,178.01 = 208.21 : x
  2. Step 2: Convert to fraction form
    785.34/1,178.01 = 208.21/x
  3. Step 3: Cross multiply
    785.34x = 1,178.01 × 208.21
  4. Step 4: Simplify right side
    785.34x = 245,273.46
  5. Step 5: Solve for x
    x = 245,273.46/785.34
  6. Step 6: Final answer
    x = 312.32

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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.