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Finding the Fourth Proportional to 1,108.27, 1,661.26 and 491.35

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Solution

The fourth proportional to 1,108.27, 1,661.26 and 491.35 is: 736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.27 : 1,661.26 = 491.35 : x
  2. Step 2: Convert to fraction form
    1,108.27/1,661.26 = 491.35/x
  3. Step 3: Cross multiply
    1,108.27x = 1,661.26 × 491.35
  4. Step 4: Simplify right side
    1,108.27x = 816,258.76
  5. Step 5: Solve for x
    x = 816,258.76/1,108.27
  6. Step 6: Final answer
    x = 736.52

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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.