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Finding the Fourth Proportional to 976.26, 1,347.24 and 534.14

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Solution

The fourth proportional to 976.26, 1,347.24 and 534.14 is: 737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.26 : 1,347.24 = 534.14 : x
  2. Step 2: Convert to fraction form
    976.26/1,347.24 = 534.14/x
  3. Step 3: Cross multiply
    976.26x = 1,347.24 × 534.14
  4. Step 4: Simplify right side
    976.26x = 719,614.77
  5. Step 5: Solve for x
    x = 719,614.77/976.26
  6. Step 6: Final answer
    x = 737.11

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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.