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Finding the Fourth Proportional to 976.76, 1,465.16 and 428.79

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Solution

The fourth proportional to 976.76, 1,465.16 and 428.79 is: 643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.76 : 1,465.16 = 428.79 : x
  2. Step 2: Convert to fraction form
    976.76/1,465.16 = 428.79/x
  3. Step 3: Cross multiply
    976.76x = 1,465.16 × 428.79
  4. Step 4: Simplify right side
    976.76x = 628,249.31
  5. Step 5: Solve for x
    x = 628,249.31/976.76
  6. Step 6: Final answer
    x = 643.20

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