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Finding the Fourth Proportional to 976.13, 1,463.65 and 427.76

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Solution

The fourth proportional to 976.13, 1,463.65 and 427.76 is: 641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.13 : 1,463.65 = 427.76 : x
  2. Step 2: Convert to fraction form
    976.13/1,463.65 = 427.76/x
  3. Step 3: Cross multiply
    976.13x = 1,463.65 × 427.76
  4. Step 4: Simplify right side
    976.13x = 626,082.54
  5. Step 5: Solve for x
    x = 626,082.54/976.13
  6. Step 6: Final answer
    x = 641.40

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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.