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Finding the Fourth Proportional to 1,072.86, 1,616.27 and 1,059.42

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Solution

The fourth proportional to 1,072.86, 1,616.27 and 1,059.42 is: 1,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.86 : 1,616.27 = 1,059.42 : x
  2. Step 2: Convert to fraction form
    1,072.86/1,616.27 = 1,059.42/x
  3. Step 3: Cross multiply
    1,072.86x = 1,616.27 × 1,059.42
  4. Step 4: Simplify right side
    1,072.86x = 1,712,303.47
  5. Step 5: Solve for x
    x = 1,712,303.47/1,072.86
  6. Step 6: Final answer
    x = 1,596.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.