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Finding the Fourth Proportional to 813.92, 1,123.26 and 638.96

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Solution

The fourth proportional to 813.92, 1,123.26 and 638.96 is: 881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.92 : 1,123.26 = 638.96 : x
  2. Step 2: Convert to fraction form
    813.92/1,123.26 = 638.96/x
  3. Step 3: Cross multiply
    813.92x = 1,123.26 × 638.96
  4. Step 4: Simplify right side
    813.92x = 717,718.21
  5. Step 5: Solve for x
    x = 717,718.21/813.92
  6. Step 6: Final answer
    x = 881.80

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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.