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Finding the Fourth Proportional to 1,123.00, 1,684.23 and 301.22

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Solution

The fourth proportional to 1,123.00, 1,684.23 and 301.22 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.00 : 1,684.23 = 301.22 : x
  2. Step 2: Convert to fraction form
    1,123.00/1,684.23 = 301.22/x
  3. Step 3: Cross multiply
    1,123.00x = 1,684.23 × 301.22
  4. Step 4: Simplify right side
    1,123.00x = 507,320.53
  5. Step 5: Solve for x
    x = 507,320.53/1,123.00
  6. Step 6: Final answer
    x = 451.76

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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.