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Finding the Fourth Proportional to 780.69, 1,170.95 and 203.56

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Solution

The fourth proportional to 780.69, 1,170.95 and 203.56 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.69 : 1,170.95 = 203.56 : x
  2. Step 2: Convert to fraction form
    780.69/1,170.95 = 203.56/x
  3. Step 3: Cross multiply
    780.69x = 1,170.95 × 203.56
  4. Step 4: Simplify right side
    780.69x = 238,358.58
  5. Step 5: Solve for x
    x = 238,358.58/780.69
  6. Step 6: Final answer
    x = 305.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.