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Finding the Fourth Proportional to 784.97, 1,177.01 and 236.99

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Solution

The fourth proportional to 784.97, 1,177.01 and 236.99 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.97 : 1,177.01 = 236.99 : x
  2. Step 2: Convert to fraction form
    784.97/1,177.01 = 236.99/x
  3. Step 3: Cross multiply
    784.97x = 1,177.01 × 236.99
  4. Step 4: Simplify right side
    784.97x = 278,938.41
  5. Step 5: Solve for x
    x = 278,938.41/784.97
  6. Step 6: Final answer
    x = 355.35

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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.