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Finding the Fourth Proportional to 1,450.40, 1,999.20 and 925.52

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Solution

The fourth proportional to 1,450.40, 1,999.20 and 925.52 is: 1,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.40 : 1,999.20 = 925.52 : x
  2. Step 2: Convert to fraction form
    1,450.40/1,999.20 = 925.52/x
  3. Step 3: Cross multiply
    1,450.40x = 1,999.20 × 925.52
  4. Step 4: Simplify right side
    1,450.40x = 1,850,299.58
  5. Step 5: Solve for x
    x = 1,850,299.58/1,450.40
  6. Step 6: Final answer
    x = 1,275.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.