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Finding the Fourth Proportional to 1,353.12, 2,029.68 and 365.94

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Solution

The fourth proportional to 1,353.12, 2,029.68 and 365.94 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.12 : 2,029.68 = 365.94 : x
  2. Step 2: Convert to fraction form
    1,353.12/2,029.68 = 365.94/x
  3. Step 3: Cross multiply
    1,353.12x = 2,029.68 × 365.94
  4. Step 4: Simplify right side
    1,353.12x = 742,741.10
  5. Step 5: Solve for x
    x = 742,741.10/1,353.12
  6. Step 6: Final answer
    x = 548.91

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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.