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Finding the Fourth Proportional to 1,464.93, 2,196.27 and 735.03

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Solution

The fourth proportional to 1,464.93, 2,196.27 and 735.03 is: 1,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.93 : 2,196.27 = 735.03 : x
  2. Step 2: Convert to fraction form
    1,464.93/2,196.27 = 735.03/x
  3. Step 3: Cross multiply
    1,464.93x = 2,196.27 × 735.03
  4. Step 4: Simplify right side
    1,464.93x = 1,614,324.34
  5. Step 5: Solve for x
    x = 1,614,324.34/1,464.93
  6. Step 6: Final answer
    x = 1,101.98

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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.