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Finding the Fourth Proportional to 976.28, 1,347.23 and 583.23

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Solution

The fourth proportional to 976.28, 1,347.23 and 583.23 is: 804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.28 : 1,347.23 = 583.23 : x
  2. Step 2: Convert to fraction form
    976.28/1,347.23 = 583.23/x
  3. Step 3: Cross multiply
    976.28x = 1,347.23 × 583.23
  4. Step 4: Simplify right side
    976.28x = 785,743.88
  5. Step 5: Solve for x
    x = 785,743.88/976.28
  6. Step 6: Final answer
    x = 804.83

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Double scale
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1.5x scale

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.