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Finding the Fourth Proportional to 813.63, 1,123.28 and 626.76

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Solution

The fourth proportional to 813.63, 1,123.28 and 626.76 is: 865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.63 : 1,123.28 = 626.76 : x
  2. Step 2: Convert to fraction form
    813.63/1,123.28 = 626.76/x
  3. Step 3: Cross multiply
    813.63x = 1,123.28 × 626.76
  4. Step 4: Simplify right side
    813.63x = 704,023.84
  5. Step 5: Solve for x
    x = 704,023.84/813.63
  6. Step 6: Final answer
    x = 865.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.