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Finding the Fourth Proportional to 1,123.79, 1,550.81 and 626.41

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Solution

The fourth proportional to 1,123.79, 1,550.81 and 626.41 is: 864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.79 : 1,550.81 = 626.41 : x
  2. Step 2: Convert to fraction form
    1,123.79/1,550.81 = 626.41/x
  3. Step 3: Cross multiply
    1,123.79x = 1,550.81 × 626.41
  4. Step 4: Simplify right side
    1,123.79x = 971,442.89
  5. Step 5: Solve for x
    x = 971,442.89/1,123.79
  6. Step 6: Final answer
    x = 864.43

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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.