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Finding the Fourth Proportional to 813.67, 1,123.04 and 577.96

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Solution

The fourth proportional to 813.67, 1,123.04 and 577.96 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.67 : 1,123.04 = 577.96 : x
  2. Step 2: Convert to fraction form
    813.67/1,123.04 = 577.96/x
  3. Step 3: Cross multiply
    813.67x = 1,123.04 × 577.96
  4. Step 4: Simplify right side
    813.67x = 649,070.84
  5. Step 5: Solve for x
    x = 649,070.84/813.67
  6. Step 6: Final answer
    x = 797.71

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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.