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Finding the Fourth Proportional to 758, 1,046.10 and 447.56

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Solution

The fourth proportional to 758, 1,046.10 and 447.56 is: 617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    758 : 1,046.10 = 447.56 : x
  2. Step 2: Convert to fraction form
    758/1,046.10 = 447.56/x
  3. Step 3: Cross multiply
    758x = 1,046.10 × 447.56
  4. Step 4: Simplify right side
    758x = 468,192.52
  5. Step 5: Solve for x
    x = 468,192.52/758
  6. Step 6: Final answer
    x = 617.67

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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.