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Finding the Fourth Proportional to 1,118.06, 1,542.93 and 620.78

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Solution

The fourth proportional to 1,118.06, 1,542.93 and 620.78 is: 856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.06 : 1,542.93 = 620.78 : x
  2. Step 2: Convert to fraction form
    1,118.06/1,542.93 = 620.78/x
  3. Step 3: Cross multiply
    1,118.06x = 1,542.93 × 620.78
  4. Step 4: Simplify right side
    1,118.06x = 957,823.94
  5. Step 5: Solve for x
    x = 957,823.94/1,118.06
  6. Step 6: Final answer
    x = 856.68

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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.