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Finding the Fourth Proportional to 947.76, 1,421.74 and 331.24

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Solution

The fourth proportional to 947.76, 1,421.74 and 331.24 is: 496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.76 : 1,421.74 = 331.24 : x
  2. Step 2: Convert to fraction form
    947.76/1,421.74 = 331.24/x
  3. Step 3: Cross multiply
    947.76x = 1,421.74 × 331.24
  4. Step 4: Simplify right side
    947.76x = 470,937.16
  5. Step 5: Solve for x
    x = 470,937.16/947.76
  6. Step 6: Final answer
    x = 496.89

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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.