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Finding the Fourth Proportional to 689.07, 951.03 and 467.88

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Solution

The fourth proportional to 689.07, 951.03 and 467.88 is: 645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.07 : 951.03 = 467.88 : x
  2. Step 2: Convert to fraction form
    689.07/951.03 = 467.88/x
  3. Step 3: Cross multiply
    689.07x = 951.03 × 467.88
  4. Step 4: Simplify right side
    689.07x = 444,967.92
  5. Step 5: Solve for x
    x = 444,967.92/689.07
  6. Step 6: Final answer
    x = 645.75

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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.