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Finding the Fourth Proportional to 1,123.74, 1,550.80 and 626.42

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Solution

The fourth proportional to 1,123.74, 1,550.80 and 626.42 is: 864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.74 : 1,550.80 = 626.42 : x
  2. Step 2: Convert to fraction form
    1,123.74/1,550.80 = 626.42/x
  3. Step 3: Cross multiply
    1,123.74x = 1,550.80 × 626.42
  4. Step 4: Simplify right side
    1,123.74x = 971,452.14
  5. Step 5: Solve for x
    x = 971,452.14/1,123.74
  6. Step 6: Final answer
    x = 864.48

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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.