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Finding the Fourth Proportional to 680.84, 1,021.40 and 248.00

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Solution

The fourth proportional to 680.84, 1,021.40 and 248.00 is: 372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.84 : 1,021.40 = 248.00 : x
  2. Step 2: Convert to fraction form
    680.84/1,021.40 = 248.00/x
  3. Step 3: Cross multiply
    680.84x = 1,021.40 × 248.00
  4. Step 4: Simplify right side
    680.84x = 253,300.85
  5. Step 5: Solve for x
    x = 253,300.85/680.84
  6. Step 6: Final answer
    x = 372.04

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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.