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Finding the Fourth Proportional to 1,025.06, 1,536.77 and 563.05

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Solution

The fourth proportional to 1,025.06, 1,536.77 and 563.05 is: 844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.06 : 1,536.77 = 563.05 : x
  2. Step 2: Convert to fraction form
    1,025.06/1,536.77 = 563.05/x
  3. Step 3: Cross multiply
    1,025.06x = 1,536.77 × 563.05
  4. Step 4: Simplify right side
    1,025.06x = 865,281.68
  5. Step 5: Solve for x
    x = 865,281.68/1,025.06
  6. Step 6: Final answer
    x = 844.13

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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.