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Finding the Fourth Proportional to 1,065.12, 1,593.57 and 1,062.39

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Solution

The fourth proportional to 1,065.12, 1,593.57 and 1,062.39 is: 1,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.12 : 1,593.57 = 1,062.39 : x
  2. Step 2: Convert to fraction form
    1,065.12/1,593.57 = 1,062.39/x
  3. Step 3: Cross multiply
    1,065.12x = 1,593.57 × 1,062.39
  4. Step 4: Simplify right side
    1,065.12x = 1,692,992.83
  5. Step 5: Solve for x
    x = 1,692,992.83/1,065.12
  6. Step 6: Final answer
    x = 1,589.49

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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.