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Finding the Fourth Proportional to 943.39, 1,415.90 and 456.85

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Solution

The fourth proportional to 943.39, 1,415.90 and 456.85 is: 685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.39 : 1,415.90 = 456.85 : x
  2. Step 2: Convert to fraction form
    943.39/1,415.90 = 456.85/x
  3. Step 3: Cross multiply
    943.39x = 1,415.90 × 456.85
  4. Step 4: Simplify right side
    943.39x = 646,853.92
  5. Step 5: Solve for x
    x = 646,853.92/943.39
  6. Step 6: Final answer
    x = 685.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.