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Finding the Fourth Proportional to 689.22, 953.22 and 615.42

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Solution

The fourth proportional to 689.22, 953.22 and 615.42 is: 851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.22 : 953.22 = 615.42 : x
  2. Step 2: Convert to fraction form
    689.22/953.22 = 615.42/x
  3. Step 3: Cross multiply
    689.22x = 953.22 × 615.42
  4. Step 4: Simplify right side
    689.22x = 586,630.65
  5. Step 5: Solve for x
    x = 586,630.65/689.22
  6. Step 6: Final answer
    x = 851.15

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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.