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Finding the Fourth Proportional to 1,105.22, 1,658.10 and 549.43

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Solution

The fourth proportional to 1,105.22, 1,658.10 and 549.43 is: 824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.22 : 1,658.10 = 549.43 : x
  2. Step 2: Convert to fraction form
    1,105.22/1,658.10 = 549.43/x
  3. Step 3: Cross multiply
    1,105.22x = 1,658.10 × 549.43
  4. Step 4: Simplify right side
    1,105.22x = 911,009.88
  5. Step 5: Solve for x
    x = 911,009.88/1,105.22
  6. Step 6: Final answer
    x = 824.28

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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.