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Finding the Fourth Proportional to 976.75, 1,347.85 and 534.57

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Solution

The fourth proportional to 976.75, 1,347.85 and 534.57 is: 737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.75 : 1,347.85 = 534.57 : x
  2. Step 2: Convert to fraction form
    976.75/1,347.85 = 534.57/x
  3. Step 3: Cross multiply
    976.75x = 1,347.85 × 534.57
  4. Step 4: Simplify right side
    976.75x = 720,520.17
  5. Step 5: Solve for x
    x = 720,520.17/976.75
  6. Step 6: Final answer
    x = 737.67

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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.