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Finding the Fourth Proportional to 1,106.06, 1,659.84 and 456.79

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Solution

The fourth proportional to 1,106.06, 1,659.84 and 456.79 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.06 : 1,659.84 = 456.79 : x
  2. Step 2: Convert to fraction form
    1,106.06/1,659.84 = 456.79/x
  3. Step 3: Cross multiply
    1,106.06x = 1,659.84 × 456.79
  4. Step 4: Simplify right side
    1,106.06x = 758,194.16
  5. Step 5: Solve for x
    x = 758,194.16/1,106.06
  6. Step 6: Final answer
    x = 685.49

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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.