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Finding the Fourth Proportional to 689.22, 948.72 and 601.74

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Solution

The fourth proportional to 689.22, 948.72 and 601.74 is: 828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.22 : 948.72 = 601.74 : x
  2. Step 2: Convert to fraction form
    689.22/948.72 = 601.74/x
  3. Step 3: Cross multiply
    689.22x = 948.72 × 601.74
  4. Step 4: Simplify right side
    689.22x = 570,882.77
  5. Step 5: Solve for x
    x = 570,882.77/689.22
  6. Step 6: Final answer
    x = 828.30

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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.