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Finding the Fourth Proportional to 1,065.38, 1,596.36 and 1,025.42

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Solution

The fourth proportional to 1,065.38, 1,596.36 and 1,025.42 is: 1,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.38 : 1,596.36 = 1,025.42 : x
  2. Step 2: Convert to fraction form
    1,065.38/1,596.36 = 1,025.42/x
  3. Step 3: Cross multiply
    1,065.38x = 1,596.36 × 1,025.42
  4. Step 4: Simplify right side
    1,065.38x = 1,636,939.47
  5. Step 5: Solve for x
    x = 1,636,939.47/1,065.38
  6. Step 6: Final answer
    x = 1,536.48

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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.