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Finding the Fourth Proportional to 735.75, 1,016.13 and 456.65

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Solution

The fourth proportional to 735.75, 1,016.13 and 456.65 is: 630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 1,016.13 = 456.65 : x
  2. Step 2: Convert to fraction form
    735.75/1,016.13 = 456.65/x
  3. Step 3: Cross multiply
    735.75x = 1,016.13 × 456.65
  4. Step 4: Simplify right side
    735.75x = 464,014.49
  5. Step 5: Solve for x
    x = 464,014.49/735.75
  6. Step 6: Final answer
    x = 630.67

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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.