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Finding the Fourth Proportional to 903.52, 1,355.20 and 492.84

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Solution

The fourth proportional to 903.52, 1,355.20 and 492.84 is: 739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.52 : 1,355.20 = 492.84 : x
  2. Step 2: Convert to fraction form
    903.52/1,355.20 = 492.84/x
  3. Step 3: Cross multiply
    903.52x = 1,355.20 × 492.84
  4. Step 4: Simplify right side
    903.52x = 667,896.77
  5. Step 5: Solve for x
    x = 667,896.77/903.52
  6. Step 6: Final answer
    x = 739.22

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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.