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Finding the Fourth Proportional to 1,302.73, 1,954.08 and 328.83

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Solution

The fourth proportional to 1,302.73, 1,954.08 and 328.83 is: 493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.73 : 1,954.08 = 328.83 : x
  2. Step 2: Convert to fraction form
    1,302.73/1,954.08 = 328.83/x
  3. Step 3: Cross multiply
    1,302.73x = 1,954.08 × 328.83
  4. Step 4: Simplify right side
    1,302.73x = 642,560.13
  5. Step 5: Solve for x
    x = 642,560.13/1,302.73
  6. Step 6: Final answer
    x = 493.24

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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.