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Finding the Fourth Proportional to 689.46, 1,033.20 and 534.66

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Solution

The fourth proportional to 689.46, 1,033.20 and 534.66 is: 801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.46 : 1,033.20 = 534.66 : x
  2. Step 2: Convert to fraction form
    689.46/1,033.20 = 534.66/x
  3. Step 3: Cross multiply
    689.46x = 1,033.20 × 534.66
  4. Step 4: Simplify right side
    689.46x = 552,410.71
  5. Step 5: Solve for x
    x = 552,410.71/689.46
  6. Step 6: Final answer
    x = 801.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.