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Finding the Fourth Proportional to 689.00, 949.70 and 539.35

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Solution

The fourth proportional to 689.00, 949.70 and 539.35 is: 743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.00 : 949.70 = 539.35 : x
  2. Step 2: Convert to fraction form
    689.00/949.70 = 539.35/x
  3. Step 3: Cross multiply
    689.00x = 949.70 × 539.35
  4. Step 4: Simplify right side
    689.00x = 512,219.67
  5. Step 5: Solve for x
    x = 512,219.67/689.00
  6. Step 6: Final answer
    x = 743.43

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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.