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Finding the Fourth Proportional to 1,172.69, 1,759.46 and 548.53

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Solution

The fourth proportional to 1,172.69, 1,759.46 and 548.53 is: 823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.69 : 1,759.46 = 548.53 : x
  2. Step 2: Convert to fraction form
    1,172.69/1,759.46 = 548.53/x
  3. Step 3: Cross multiply
    1,172.69x = 1,759.46 × 548.53
  4. Step 4: Simplify right side
    1,172.69x = 965,124.14
  5. Step 5: Solve for x
    x = 965,124.14/1,172.69
  6. Step 6: Final answer
    x = 823.00

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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.