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Finding the Fourth Proportional to 976.71, 1,465.11 and 543.54

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Solution

The fourth proportional to 976.71, 1,465.11 and 543.54 is: 815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.71 : 1,465.11 = 543.54 : x
  2. Step 2: Convert to fraction form
    976.71/1,465.11 = 543.54/x
  3. Step 3: Cross multiply
    976.71x = 1,465.11 × 543.54
  4. Step 4: Simplify right side
    976.71x = 796,345.89
  5. Step 5: Solve for x
    x = 796,345.89/976.71
  6. Step 6: Final answer
    x = 815.34

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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.