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Finding the Fourth Proportional to 905.51, 1,360.69 and 691.67

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Solution

The fourth proportional to 905.51, 1,360.69 and 691.67 is: 1,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.51 : 1,360.69 = 691.67 : x
  2. Step 2: Convert to fraction form
    905.51/1,360.69 = 691.67/x
  3. Step 3: Cross multiply
    905.51x = 1,360.69 × 691.67
  4. Step 4: Simplify right side
    905.51x = 941,150.12
  5. Step 5: Solve for x
    x = 941,150.12/905.51
  6. Step 6: Final answer
    x = 1,039.36

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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.