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Finding the Fourth Proportional to 976.23, 1,347.15 and 534.12

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Solution

The fourth proportional to 976.23, 1,347.15 and 534.12 is: 737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.23 : 1,347.15 = 534.12 : x
  2. Step 2: Convert to fraction form
    976.23/1,347.15 = 534.12/x
  3. Step 3: Cross multiply
    976.23x = 1,347.15 × 534.12
  4. Step 4: Simplify right side
    976.23x = 719,539.76
  5. Step 5: Solve for x
    x = 719,539.76/976.23
  6. Step 6: Final answer
    x = 737.06

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Half scale
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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.