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Finding the Fourth Proportional to 1,123.07, 1,684.76 and 301.37

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Solution

The fourth proportional to 1,123.07, 1,684.76 and 301.37 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.07 : 1,684.76 = 301.37 : x
  2. Step 2: Convert to fraction form
    1,123.07/1,684.76 = 301.37/x
  3. Step 3: Cross multiply
    1,123.07x = 1,684.76 × 301.37
  4. Step 4: Simplify right side
    1,123.07x = 507,726.19
  5. Step 5: Solve for x
    x = 507,726.19/1,123.07
  6. Step 6: Final answer
    x = 452.09

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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.