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Finding the Fourth Proportional to 976.38, 1,465.43 and 456.66

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Solution

The fourth proportional to 976.38, 1,465.43 and 456.66 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.38 : 1,465.43 = 456.66 : x
  2. Step 2: Convert to fraction form
    976.38/1,465.43 = 456.66/x
  3. Step 3: Cross multiply
    976.38x = 1,465.43 × 456.66
  4. Step 4: Simplify right side
    976.38x = 669,203.55
  5. Step 5: Solve for x
    x = 669,203.55/976.38
  6. Step 6: Final answer
    x = 685.40

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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.