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Finding the Fourth Proportional to 813.71, 1,123.47 and 626.87

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Solution

The fourth proportional to 813.71, 1,123.47 and 626.87 is: 865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.71 : 1,123.47 = 626.87 : x
  2. Step 2: Convert to fraction form
    813.71/1,123.47 = 626.87/x
  3. Step 3: Cross multiply
    813.71x = 1,123.47 × 626.87
  4. Step 4: Simplify right side
    813.71x = 704,272.45
  5. Step 5: Solve for x
    x = 704,272.45/813.71
  6. Step 6: Final answer
    x = 865.51

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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.