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Finding the Fourth Proportional to 1,264.03, 1,896.24 and 398.14

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Solution

The fourth proportional to 1,264.03, 1,896.24 and 398.14 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.03 : 1,896.24 = 398.14 : x
  2. Step 2: Convert to fraction form
    1,264.03/1,896.24 = 398.14/x
  3. Step 3: Cross multiply
    1,264.03x = 1,896.24 × 398.14
  4. Step 4: Simplify right side
    1,264.03x = 754,968.99
  5. Step 5: Solve for x
    x = 754,968.99/1,264.03
  6. Step 6: Final answer
    x = 597.27

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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.