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Finding the Fourth Proportional to 843.83, 1,264.01 and 534.57

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Solution

The fourth proportional to 843.83, 1,264.01 and 534.57 is: 800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.83 : 1,264.01 = 534.57 : x
  2. Step 2: Convert to fraction form
    843.83/1,264.01 = 534.57/x
  3. Step 3: Cross multiply
    843.83x = 1,264.01 × 534.57
  4. Step 4: Simplify right side
    843.83x = 675,701.83
  5. Step 5: Solve for x
    x = 675,701.83/843.83
  6. Step 6: Final answer
    x = 800.76

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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.