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Finding the Fourth Proportional to 694.46, 1,040.49 and 460.05

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Solution

The fourth proportional to 694.46, 1,040.49 and 460.05 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.46 : 1,040.49 = 460.05 : x
  2. Step 2: Convert to fraction form
    694.46/1,040.49 = 460.05/x
  3. Step 3: Cross multiply
    694.46x = 1,040.49 × 460.05
  4. Step 4: Simplify right side
    694.46x = 478,672.37
  5. Step 5: Solve for x
    x = 478,672.37/694.46
  6. Step 6: Final answer
    x = 689.28

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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.