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Finding the Fourth Proportional to 1,239.97, 1,858.70 and 778.07

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Solution

The fourth proportional to 1,239.97, 1,858.70 and 778.07 is: 1,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.97 : 1,858.70 = 778.07 : x
  2. Step 2: Convert to fraction form
    1,239.97/1,858.70 = 778.07/x
  3. Step 3: Cross multiply
    1,239.97x = 1,858.70 × 778.07
  4. Step 4: Simplify right side
    1,239.97x = 1,446,194.82
  5. Step 5: Solve for x
    x = 1,446,194.82/1,239.97
  6. Step 6: Final answer
    x = 1,166.31

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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.