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Finding the Fourth Proportional to 1,110.27, 1,665.41 and 461.00

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Solution

The fourth proportional to 1,110.27, 1,665.41 and 461.00 is: 691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.27 : 1,665.41 = 461.00 : x
  2. Step 2: Convert to fraction form
    1,110.27/1,665.41 = 461.00/x
  3. Step 3: Cross multiply
    1,110.27x = 1,665.41 × 461.00
  4. Step 4: Simplify right side
    1,110.27x = 767,760.80
  5. Step 5: Solve for x
    x = 767,760.80/1,110.27
  6. Step 6: Final answer
    x = 691.51

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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.