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Finding the Fourth Proportional to 976.98, 1,348.22 and 534.86

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Solution

The fourth proportional to 976.98, 1,348.22 and 534.86 is: 738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.98 : 1,348.22 = 534.86 : x
  2. Step 2: Convert to fraction form
    976.98/1,348.22 = 534.86/x
  3. Step 3: Cross multiply
    976.98x = 1,348.22 × 534.86
  4. Step 4: Simplify right side
    976.98x = 721,103.55
  5. Step 5: Solve for x
    x = 721,103.55/976.98
  6. Step 6: Final answer
    x = 738.09

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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.