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Finding the Fourth Proportional to 785.25, 1,177.20 and 297.96

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Solution

The fourth proportional to 785.25, 1,177.20 and 297.96 is: 446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.25 : 1,177.20 = 297.96 : x
  2. Step 2: Convert to fraction form
    785.25/1,177.20 = 297.96/x
  3. Step 3: Cross multiply
    785.25x = 1,177.20 × 297.96
  4. Step 4: Simplify right side
    785.25x = 350,758.51
  5. Step 5: Solve for x
    x = 350,758.51/785.25
  6. Step 6: Final answer
    x = 446.68

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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.