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Finding the Fourth Proportional to 757.89, 1,046.45 and 463.56

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Solution

The fourth proportional to 757.89, 1,046.45 and 463.56 is: 640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.89 : 1,046.45 = 463.56 : x
  2. Step 2: Convert to fraction form
    757.89/1,046.45 = 463.56/x
  3. Step 3: Cross multiply
    757.89x = 1,046.45 × 463.56
  4. Step 4: Simplify right side
    757.89x = 485,089.60
  5. Step 5: Solve for x
    x = 485,089.60/757.89
  6. Step 6: Final answer
    x = 640.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.