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Finding the Fourth Proportional to 976.49, 1,465.65 and 514.61

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Solution

The fourth proportional to 976.49, 1,465.65 and 514.61 is: 772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.49 : 1,465.65 = 514.61 : x
  2. Step 2: Convert to fraction form
    976.49/1,465.65 = 514.61/x
  3. Step 3: Cross multiply
    976.49x = 1,465.65 × 514.61
  4. Step 4: Simplify right side
    976.49x = 754,238.15
  5. Step 5: Solve for x
    x = 754,238.15/976.49
  6. Step 6: Final answer
    x = 772.40

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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.