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Finding the Fourth Proportional to 785.12, 1,177.95 and 298.31

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Solution

The fourth proportional to 785.12, 1,177.95 and 298.31 is: 447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.12 : 1,177.95 = 298.31 : x
  2. Step 2: Convert to fraction form
    785.12/1,177.95 = 298.31/x
  3. Step 3: Cross multiply
    785.12x = 1,177.95 × 298.31
  4. Step 4: Simplify right side
    785.12x = 351,394.26
  5. Step 5: Solve for x
    x = 351,394.26/785.12
  6. Step 6: Final answer
    x = 447.57

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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.