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Finding the Fourth Proportional to 680.84, 1,019.64 and 572.30

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Solution

The fourth proportional to 680.84, 1,019.64 and 572.30 is: 857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.84 : 1,019.64 = 572.30 : x
  2. Step 2: Convert to fraction form
    680.84/1,019.64 = 572.30/x
  3. Step 3: Cross multiply
    680.84x = 1,019.64 × 572.30
  4. Step 4: Simplify right side
    680.84x = 583,539.97
  5. Step 5: Solve for x
    x = 583,539.97/680.84
  6. Step 6: Final answer
    x = 857.09

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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.