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Finding the Fourth Proportional to 1,201.20, 1,800.16 and 507.28

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Solution

The fourth proportional to 1,201.20, 1,800.16 and 507.28 is: 760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.20 : 1,800.16 = 507.28 : x
  2. Step 2: Convert to fraction form
    1,201.20/1,800.16 = 507.28/x
  3. Step 3: Cross multiply
    1,201.20x = 1,800.16 × 507.28
  4. Step 4: Simplify right side
    1,201.20x = 913,185.16
  5. Step 5: Solve for x
    x = 913,185.16/1,201.20
  6. Step 6: Final answer
    x = 760.23

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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.