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Finding the Fourth Proportional to 689.54, 951.81 and 456.74

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Solution

The fourth proportional to 689.54, 951.81 and 456.74 is: 630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.54 : 951.81 = 456.74 : x
  2. Step 2: Convert to fraction form
    689.54/951.81 = 456.74/x
  3. Step 3: Cross multiply
    689.54x = 951.81 × 456.74
  4. Step 4: Simplify right side
    689.54x = 434,729.70
  5. Step 5: Solve for x
    x = 434,729.70/689.54
  6. Step 6: Final answer
    x = 630.46

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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.