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Finding the Fourth Proportional to 1,025.48, 1,536.81 and 562.70

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Solution

The fourth proportional to 1,025.48, 1,536.81 and 562.70 is: 843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.48 : 1,536.81 = 562.70 : x
  2. Step 2: Convert to fraction form
    1,025.48/1,536.81 = 562.70/x
  3. Step 3: Cross multiply
    1,025.48x = 1,536.81 × 562.70
  4. Step 4: Simplify right side
    1,025.48x = 864,764.72
  5. Step 5: Solve for x
    x = 864,764.72/1,025.48
  6. Step 6: Final answer
    x = 843.28

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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.