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Finding the Fourth Proportional to 785.29, 1,177.95 and 298.36

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Solution

The fourth proportional to 785.29, 1,177.95 and 298.36 is: 447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.29 : 1,177.95 = 298.36 : x
  2. Step 2: Convert to fraction form
    785.29/1,177.95 = 298.36/x
  3. Step 3: Cross multiply
    785.29x = 1,177.95 × 298.36
  4. Step 4: Simplify right side
    785.29x = 351,453.16
  5. Step 5: Solve for x
    x = 351,453.16/785.29
  6. Step 6: Final answer
    x = 447.55

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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.