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Finding the Fourth Proportional to 1,072.58, 1,597.66 and 1,059.80

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Solution

The fourth proportional to 1,072.58, 1,597.66 and 1,059.80 is: 1,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.58 : 1,597.66 = 1,059.80 : x
  2. Step 2: Convert to fraction form
    1,072.58/1,597.66 = 1,059.80/x
  3. Step 3: Cross multiply
    1,072.58x = 1,597.66 × 1,059.80
  4. Step 4: Simplify right side
    1,072.58x = 1,693,200.07
  5. Step 5: Solve for x
    x = 1,693,200.07/1,072.58
  6. Step 6: Final answer
    x = 1,578.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.