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Finding the Fourth Proportional to 689.13, 1,032.33 and 341.41

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Solution

The fourth proportional to 689.13, 1,032.33 and 341.41 is: 511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.13 : 1,032.33 = 341.41 : x
  2. Step 2: Convert to fraction form
    689.13/1,032.33 = 341.41/x
  3. Step 3: Cross multiply
    689.13x = 1,032.33 × 341.41
  4. Step 4: Simplify right side
    689.13x = 352,443.95
  5. Step 5: Solve for x
    x = 352,443.95/689.13
  6. Step 6: Final answer
    x = 511.43

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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.