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Finding the Fourth Proportional to 758.37, 1,046.70 and 493.14

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Solution

The fourth proportional to 758.37, 1,046.70 and 493.14 is: 680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.37 : 1,046.70 = 493.14 : x
  2. Step 2: Convert to fraction form
    758.37/1,046.70 = 493.14/x
  3. Step 3: Cross multiply
    758.37x = 1,046.70 × 493.14
  4. Step 4: Simplify right side
    758.37x = 516,169.64
  5. Step 5: Solve for x
    x = 516,169.64/758.37
  6. Step 6: Final answer
    x = 680.63

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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.