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Finding the Fourth Proportional to 1,078.42, 1,610.32 and 856.55

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Solution

The fourth proportional to 1,078.42, 1,610.32 and 856.55 is: 1,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.42 : 1,610.32 = 856.55 : x
  2. Step 2: Convert to fraction form
    1,078.42/1,610.32 = 856.55/x
  3. Step 3: Cross multiply
    1,078.42x = 1,610.32 × 856.55
  4. Step 4: Simplify right side
    1,078.42x = 1,379,321.48
  5. Step 5: Solve for x
    x = 1,379,321.48/1,078.42
  6. Step 6: Final answer
    x = 1,279.02

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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.