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Finding the Fourth Proportional to 1,041.42, 1,563.75 and 826.77

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Solution

The fourth proportional to 1,041.42, 1,563.75 and 826.77 is: 1,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.42 : 1,563.75 = 826.77 : x
  2. Step 2: Convert to fraction form
    1,041.42/1,563.75 = 826.77/x
  3. Step 3: Cross multiply
    1,041.42x = 1,563.75 × 826.77
  4. Step 4: Simplify right side
    1,041.42x = 1,292,861.59
  5. Step 5: Solve for x
    x = 1,292,861.59/1,041.42
  6. Step 6: Final answer
    x = 1,241.44

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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.