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Finding the Fourth Proportional to 976.13, 1,346.66 and 556.40

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Solution

The fourth proportional to 976.13, 1,346.66 and 556.40 is: 767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.13 : 1,346.66 = 556.40 : x
  2. Step 2: Convert to fraction form
    976.13/1,346.66 = 556.40/x
  3. Step 3: Cross multiply
    976.13x = 1,346.66 × 556.40
  4. Step 4: Simplify right side
    976.13x = 749,286.38
  5. Step 5: Solve for x
    x = 749,286.38/976.13
  6. Step 6: Final answer
    x = 767.61

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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.