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Finding the Fourth Proportional to 689.58, 948.79 and 596.03

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Solution

The fourth proportional to 689.58, 948.79 and 596.03 is: 820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.58 : 948.79 = 596.03 : x
  2. Step 2: Convert to fraction form
    689.58/948.79 = 596.03/x
  3. Step 3: Cross multiply
    689.58x = 948.79 × 596.03
  4. Step 4: Simplify right side
    689.58x = 565,503.30
  5. Step 5: Solve for x
    x = 565,503.30/689.58
  6. Step 6: Final answer
    x = 820.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.