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Finding the Fourth Proportional to 1,025.85, 1,536.62 and 580.55

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Solution

The fourth proportional to 1,025.85, 1,536.62 and 580.55 is: 869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.85 : 1,536.62 = 580.55 : x
  2. Step 2: Convert to fraction form
    1,025.85/1,536.62 = 580.55/x
  3. Step 3: Cross multiply
    1,025.85x = 1,536.62 × 580.55
  4. Step 4: Simplify right side
    1,025.85x = 892,090.03
  5. Step 5: Solve for x
    x = 892,090.03/1,025.85
  6. Step 6: Final answer
    x = 869.61

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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.