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Finding the Fourth Proportional to 842.80, 1,262.44 and 534.48

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Solution

The fourth proportional to 842.80, 1,262.44 and 534.48 is: 800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.80 : 1,262.44 = 534.48 : x
  2. Step 2: Convert to fraction form
    842.80/1,262.44 = 534.48/x
  3. Step 3: Cross multiply
    842.80x = 1,262.44 × 534.48
  4. Step 4: Simplify right side
    842.80x = 674,748.93
  5. Step 5: Solve for x
    x = 674,748.93/842.80
  6. Step 6: Final answer
    x = 800.60

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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.