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Finding the Fourth Proportional to 1,086.13, 1,632.03 and 1,015.03

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Solution

The fourth proportional to 1,086.13, 1,632.03 and 1,015.03 is: 1,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.13 : 1,632.03 = 1,015.03 : x
  2. Step 2: Convert to fraction form
    1,086.13/1,632.03 = 1,015.03/x
  3. Step 3: Cross multiply
    1,086.13x = 1,632.03 × 1,015.03
  4. Step 4: Simplify right side
    1,086.13x = 1,656,559.41
  5. Step 5: Solve for x
    x = 1,656,559.41/1,086.13
  6. Step 6: Final answer
    x = 1,525.19

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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.