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Finding the Fourth Proportional to 1,325.38, 1,988.09 and 400.95

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Solution

The fourth proportional to 1,325.38, 1,988.09 and 400.95 is: 601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.38 : 1,988.09 = 400.95 : x
  2. Step 2: Convert to fraction form
    1,325.38/1,988.09 = 400.95/x
  3. Step 3: Cross multiply
    1,325.38x = 1,988.09 × 400.95
  4. Step 4: Simplify right side
    1,325.38x = 797,115.23
  5. Step 5: Solve for x
    x = 797,115.23/1,325.38
  6. Step 6: Final answer
    x = 601.42

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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.