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Finding the Fourth Proportional to 976.20, 1,347.12 and 583.20

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Solution

The fourth proportional to 976.20, 1,347.12 and 583.20 is: 804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.20 : 1,347.12 = 583.20 : x
  2. Step 2: Convert to fraction form
    976.20/1,347.12 = 583.20/x
  3. Step 3: Cross multiply
    976.20x = 1,347.12 × 583.20
  4. Step 4: Simplify right side
    976.20x = 785,640.38
  5. Step 5: Solve for x
    x = 785,640.38/976.20
  6. Step 6: Final answer
    x = 804.79

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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.