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Finding the Fourth Proportional to 1,123.25, 1,684.94 and 301.52

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Solution

The fourth proportional to 1,123.25, 1,684.94 and 301.52 is: 452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.25 : 1,684.94 = 301.52 : x
  2. Step 2: Convert to fraction form
    1,123.25/1,684.94 = 301.52/x
  3. Step 3: Cross multiply
    1,123.25x = 1,684.94 × 301.52
  4. Step 4: Simplify right side
    1,123.25x = 508,045.81
  5. Step 5: Solve for x
    x = 508,045.81/1,123.25
  6. Step 6: Final answer
    x = 452.30

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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.