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Finding the Fourth Proportional to 1,208.64, 1,812.80 and 343.04

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Solution

The fourth proportional to 1,208.64, 1,812.80 and 343.04 is: 514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.64 : 1,812.80 = 343.04 : x
  2. Step 2: Convert to fraction form
    1,208.64/1,812.80 = 343.04/x
  3. Step 3: Cross multiply
    1,208.64x = 1,812.80 × 343.04
  4. Step 4: Simplify right side
    1,208.64x = 621,862.91
  5. Step 5: Solve for x
    x = 621,862.91/1,208.64
  6. Step 6: Final answer
    x = 514.51

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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.