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Finding the Fourth Proportional to 1,208.28, 1,812.70 and 688.54

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Solution

The fourth proportional to 1,208.28, 1,812.70 and 688.54 is: 1,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.28 : 1,812.70 = 688.54 : x
  2. Step 2: Convert to fraction form
    1,208.28/1,812.70 = 688.54/x
  3. Step 3: Cross multiply
    1,208.28x = 1,812.70 × 688.54
  4. Step 4: Simplify right side
    1,208.28x = 1,248,116.46
  5. Step 5: Solve for x
    x = 1,248,116.46/1,208.28
  6. Step 6: Final answer
    x = 1,032.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.