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Finding the Fourth Proportional to 1,536.64, 2,305.86 and 562.81

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Solution

The fourth proportional to 1,536.64, 2,305.86 and 562.81 is: 844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.64 : 2,305.86 = 562.81 : x
  2. Step 2: Convert to fraction form
    1,536.64/2,305.86 = 562.81/x
  3. Step 3: Cross multiply
    1,536.64x = 2,305.86 × 562.81
  4. Step 4: Simplify right side
    1,536.64x = 1,297,761.07
  5. Step 5: Solve for x
    x = 1,297,761.07/1,536.64
  6. Step 6: Final answer
    x = 844.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.