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Finding the Fourth Proportional to 976.35, 1,347.27 and 556.81

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Solution

The fourth proportional to 976.35, 1,347.27 and 556.81 is: 768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.35 : 1,347.27 = 556.81 : x
  2. Step 2: Convert to fraction form
    976.35/1,347.27 = 556.81/x
  3. Step 3: Cross multiply
    976.35x = 1,347.27 × 556.81
  4. Step 4: Simplify right side
    976.35x = 750,170.04
  5. Step 5: Solve for x
    x = 750,170.04/976.35
  6. Step 6: Final answer
    x = 768.34

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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.