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Finding the Fourth Proportional to 1,536.44, 2,305.08 and 562.64

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Solution

The fourth proportional to 1,536.44, 2,305.08 and 562.64 is: 844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.44 : 2,305.08 = 562.64 : x
  2. Step 2: Convert to fraction form
    1,536.44/2,305.08 = 562.64/x
  3. Step 3: Cross multiply
    1,536.44x = 2,305.08 × 562.64
  4. Step 4: Simplify right side
    1,536.44x = 1,296,918.69
  5. Step 5: Solve for x
    x = 1,296,918.69/1,536.44
  6. Step 6: Final answer
    x = 844.11

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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.