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Finding the Fourth Proportional to 976.45, 1,465.26 and 428.62

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Solution

The fourth proportional to 976.45, 1,465.26 and 428.62 is: 643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.45 : 1,465.26 = 428.62 : x
  2. Step 2: Convert to fraction form
    976.45/1,465.26 = 428.62/x
  3. Step 3: Cross multiply
    976.45x = 1,465.26 × 428.62
  4. Step 4: Simplify right side
    976.45x = 628,039.74
  5. Step 5: Solve for x
    x = 628,039.74/976.45
  6. Step 6: Final answer
    x = 643.19

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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.