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Finding the Fourth Proportional to 689.85, 951.56 and 601.54

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Solution

The fourth proportional to 689.85, 951.56 and 601.54 is: 829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.85 : 951.56 = 601.54 : x
  2. Step 2: Convert to fraction form
    689.85/951.56 = 601.54/x
  3. Step 3: Cross multiply
    689.85x = 951.56 × 601.54
  4. Step 4: Simplify right side
    689.85x = 572,401.30
  5. Step 5: Solve for x
    x = 572,401.30/689.85
  6. Step 6: Final answer
    x = 829.75

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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.