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Finding the Fourth Proportional to 1,027.98, 1,415.61 and 765.54

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Solution

The fourth proportional to 1,027.98, 1,415.61 and 765.54 is: 1,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.98 : 1,415.61 = 765.54 : x
  2. Step 2: Convert to fraction form
    1,027.98/1,415.61 = 765.54/x
  3. Step 3: Cross multiply
    1,027.98x = 1,415.61 × 765.54
  4. Step 4: Simplify right side
    1,027.98x = 1,083,706.08
  5. Step 5: Solve for x
    x = 1,083,706.08/1,027.98
  6. Step 6: Final answer
    x = 1,054.21

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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.