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Finding the Fourth Proportional to 1,200.94, 1,657.38 and 758.82

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Solution

The fourth proportional to 1,200.94, 1,657.38 and 758.82 is: 1,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.94 : 1,657.38 = 758.82 : x
  2. Step 2: Convert to fraction form
    1,200.94/1,657.38 = 758.82/x
  3. Step 3: Cross multiply
    1,200.94x = 1,657.38 × 758.82
  4. Step 4: Simplify right side
    1,200.94x = 1,257,653.09
  5. Step 5: Solve for x
    x = 1,257,653.09/1,200.94
  6. Step 6: Final answer
    x = 1,047.22

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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.