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Finding the Fourth Proportional to 1,301.97, 1,953.14 and 480.17

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Solution

The fourth proportional to 1,301.97, 1,953.14 and 480.17 is: 720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.97 : 1,953.14 = 480.17 : x
  2. Step 2: Convert to fraction form
    1,301.97/1,953.14 = 480.17/x
  3. Step 3: Cross multiply
    1,301.97x = 1,953.14 × 480.17
  4. Step 4: Simplify right side
    1,301.97x = 937,848.85
  5. Step 5: Solve for x
    x = 937,848.85/1,301.97
  6. Step 6: Final answer
    x = 720.33

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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.