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Finding the Fourth Proportional to 1,123.82, 1,685.73 and 474.14

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Solution

The fourth proportional to 1,123.82, 1,685.73 and 474.14 is: 711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.82 : 1,685.73 = 474.14 : x
  2. Step 2: Convert to fraction form
    1,123.82/1,685.73 = 474.14/x
  3. Step 3: Cross multiply
    1,123.82x = 1,685.73 × 474.14
  4. Step 4: Simplify right side
    1,123.82x = 799,272.02
  5. Step 5: Solve for x
    x = 799,272.02/1,123.82
  6. Step 6: Final answer
    x = 711.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.