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Finding the Fourth Proportional to 1,025.86, 1,538.03 and 513.22

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Solution

The fourth proportional to 1,025.86, 1,538.03 and 513.22 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.86 : 1,538.03 = 513.22 : x
  2. Step 2: Convert to fraction form
    1,025.86/1,538.03 = 513.22/x
  3. Step 3: Cross multiply
    1,025.86x = 1,538.03 × 513.22
  4. Step 4: Simplify right side
    1,025.86x = 789,347.76
  5. Step 5: Solve for x
    x = 789,347.76/1,025.86
  6. Step 6: Final answer
    x = 769.45

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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.