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Finding the Fourth Proportional to 976.29, 1,346.69 and 766.15

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Solution

The fourth proportional to 976.29, 1,346.69 and 766.15 is: 1,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.29 : 1,346.69 = 766.15 : x
  2. Step 2: Convert to fraction form
    976.29/1,346.69 = 766.15/x
  3. Step 3: Cross multiply
    976.29x = 1,346.69 × 766.15
  4. Step 4: Simplify right side
    976.29x = 1,031,766.54
  5. Step 5: Solve for x
    x = 1,031,766.54/976.29
  6. Step 6: Final answer
    x = 1,056.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.