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Finding the Fourth Proportional to 739.75, 1,020.85 and 403.67

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Solution

The fourth proportional to 739.75, 1,020.85 and 403.67 is: 557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.75 : 1,020.85 = 403.67 : x
  2. Step 2: Convert to fraction form
    739.75/1,020.85 = 403.67/x
  3. Step 3: Cross multiply
    739.75x = 1,020.85 × 403.67
  4. Step 4: Simplify right side
    739.75x = 412,088.90
  5. Step 5: Solve for x
    x = 412,088.90/739.75
  6. Step 6: Final answer
    x = 557.07

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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.