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Finding the Fourth Proportional to 758.84, 1,046.97 and 464.03

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Solution

The fourth proportional to 758.84, 1,046.97 and 464.03 is: 640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,046.97 = 464.03 : x
  2. Step 2: Convert to fraction form
    758.84/1,046.97 = 464.03/x
  3. Step 3: Cross multiply
    758.84x = 1,046.97 × 464.03
  4. Step 4: Simplify right side
    758.84x = 485,825.49
  5. Step 5: Solve for x
    x = 485,825.49/758.84
  6. Step 6: Final answer
    x = 640.22

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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.