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Finding the Fourth Proportional to 763.34, 1,138.43 and 689.51

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Solution

The fourth proportional to 763.34, 1,138.43 and 689.51 is: 1,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.34 : 1,138.43 = 689.51 : x
  2. Step 2: Convert to fraction form
    763.34/1,138.43 = 689.51/x
  3. Step 3: Cross multiply
    763.34x = 1,138.43 × 689.51
  4. Step 4: Simplify right side
    763.34x = 784,963.44
  5. Step 5: Solve for x
    x = 784,963.44/763.34
  6. Step 6: Final answer
    x = 1,028.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.