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Finding the Fourth Proportional to 976.76, 1,465.48 and 429.34

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Solution

The fourth proportional to 976.76, 1,465.48 and 429.34 is: 644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.76 : 1,465.48 = 429.34 : x
  2. Step 2: Convert to fraction form
    976.76/1,465.48 = 429.34/x
  3. Step 3: Cross multiply
    976.76x = 1,465.48 × 429.34
  4. Step 4: Simplify right side
    976.76x = 629,180.78
  5. Step 5: Solve for x
    x = 629,180.78/976.76
  6. Step 6: Final answer
    x = 644.15

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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.