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Finding the Fourth Proportional to 689.27, 1,034.17 and 544.01

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Solution

The fourth proportional to 689.27, 1,034.17 and 544.01 is: 816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.27 : 1,034.17 = 544.01 : x
  2. Step 2: Convert to fraction form
    689.27/1,034.17 = 544.01/x
  3. Step 3: Cross multiply
    689.27x = 1,034.17 × 544.01
  4. Step 4: Simplify right side
    689.27x = 562,592.29
  5. Step 5: Solve for x
    x = 562,592.29/689.27
  6. Step 6: Final answer
    x = 816.22

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Why These Related Problems?

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