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Finding the Fourth Proportional to 785.02, 1,177.56 and 298.11

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Solution

The fourth proportional to 785.02, 1,177.56 and 298.11 is: 447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.02 : 1,177.56 = 298.11 : x
  2. Step 2: Convert to fraction form
    785.02/1,177.56 = 298.11/x
  3. Step 3: Cross multiply
    785.02x = 1,177.56 × 298.11
  4. Step 4: Simplify right side
    785.02x = 351,042.41
  5. Step 5: Solve for x
    x = 351,042.41/785.02
  6. Step 6: Final answer
    x = 447.18

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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.