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Finding the Fourth Proportional to 1,302.80, 1,954.26 and 328.91

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Solution

The fourth proportional to 1,302.80, 1,954.26 and 328.91 is: 493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.80 : 1,954.26 = 328.91 : x
  2. Step 2: Convert to fraction form
    1,302.80/1,954.26 = 328.91/x
  3. Step 3: Cross multiply
    1,302.80x = 1,954.26 × 328.91
  4. Step 4: Simplify right side
    1,302.80x = 642,765.89
  5. Step 5: Solve for x
    x = 642,765.89/1,302.80
  6. Step 6: Final answer
    x = 493.37

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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.