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Finding the Fourth Proportional to 1,106.22, 1,661.76 and 558.26

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Solution

The fourth proportional to 1,106.22, 1,661.76 and 558.26 is: 838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.22 : 1,661.76 = 558.26 : x
  2. Step 2: Convert to fraction form
    1,106.22/1,661.76 = 558.26/x
  3. Step 3: Cross multiply
    1,106.22x = 1,661.76 × 558.26
  4. Step 4: Simplify right side
    1,106.22x = 927,685.83
  5. Step 5: Solve for x
    x = 927,685.83/1,106.22
  6. Step 6: Final answer
    x = 838.61

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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.