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Finding the Fourth Proportional to 782.53, 1,173.76 and 197.53

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Solution

The fourth proportional to 782.53, 1,173.76 and 197.53 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.53 : 1,173.76 = 197.53 : x
  2. Step 2: Convert to fraction form
    782.53/1,173.76 = 197.53/x
  3. Step 3: Cross multiply
    782.53x = 1,173.76 × 197.53
  4. Step 4: Simplify right side
    782.53x = 231,852.81
  5. Step 5: Solve for x
    x = 231,852.81/782.53
  6. Step 6: Final answer
    x = 296.29

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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.