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Finding the Fourth Proportional to 1,202.67, 1,657.80 and 782.82

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Solution

The fourth proportional to 1,202.67, 1,657.80 and 782.82 is: 1,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.67 : 1,657.80 = 782.82 : x
  2. Step 2: Convert to fraction form
    1,202.67/1,657.80 = 782.82/x
  3. Step 3: Cross multiply
    1,202.67x = 1,657.80 × 782.82
  4. Step 4: Simplify right side
    1,202.67x = 1,297,759.00
  5. Step 5: Solve for x
    x = 1,297,759.00/1,202.67
  6. Step 6: Final answer
    x = 1,079.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.