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Finding the Fourth Proportional to 1,069.34, 1,602.77 and 581.54

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Solution

The fourth proportional to 1,069.34, 1,602.77 and 581.54 is: 871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.34 : 1,602.77 = 581.54 : x
  2. Step 2: Convert to fraction form
    1,069.34/1,602.77 = 581.54/x
  3. Step 3: Cross multiply
    1,069.34x = 1,602.77 × 581.54
  4. Step 4: Simplify right side
    1,069.34x = 932,063.94
  5. Step 5: Solve for x
    x = 932,063.94/1,069.34
  6. Step 6: Final answer
    x = 871.63

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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.