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Finding the Fourth Proportional to 914.23, 1,371.53 and 665.25

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Solution

The fourth proportional to 914.23, 1,371.53 and 665.25 is: 998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.23 : 1,371.53 = 665.25 : x
  2. Step 2: Convert to fraction form
    914.23/1,371.53 = 665.25/x
  3. Step 3: Cross multiply
    914.23x = 1,371.53 × 665.25
  4. Step 4: Simplify right side
    914.23x = 912,410.33
  5. Step 5: Solve for x
    x = 912,410.33/914.23
  6. Step 6: Final answer
    x = 998.01

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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.