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Finding the Fourth Proportional to 976.46, 1,465.14 and 456.74

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Solution

The fourth proportional to 976.46, 1,465.14 and 456.74 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.46 : 1,465.14 = 456.74 : x
  2. Step 2: Convert to fraction form
    976.46/1,465.14 = 456.74/x
  3. Step 3: Cross multiply
    976.46x = 1,465.14 × 456.74
  4. Step 4: Simplify right side
    976.46x = 669,188.04
  5. Step 5: Solve for x
    x = 669,188.04/976.46
  6. Step 6: Final answer
    x = 685.32

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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.