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Finding the Fourth Proportional to 1,123.01, 1,684.52 and 301.27

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Solution

The fourth proportional to 1,123.01, 1,684.52 and 301.27 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.01 : 1,684.52 = 301.27 : x
  2. Step 2: Convert to fraction form
    1,123.01/1,684.52 = 301.27/x
  3. Step 3: Cross multiply
    1,123.01x = 1,684.52 × 301.27
  4. Step 4: Simplify right side
    1,123.01x = 507,485.41
  5. Step 5: Solve for x
    x = 507,485.41/1,123.01
  6. Step 6: Final answer
    x = 451.90

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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.