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Finding the Fourth Proportional to 1,020.94, 1,531.83 and 534.31

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Solution

The fourth proportional to 1,020.94, 1,531.83 and 534.31 is: 801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.94 : 1,531.83 = 534.31 : x
  2. Step 2: Convert to fraction form
    1,020.94/1,531.83 = 534.31/x
  3. Step 3: Cross multiply
    1,020.94x = 1,531.83 × 534.31
  4. Step 4: Simplify right side
    1,020.94x = 818,464.43
  5. Step 5: Solve for x
    x = 818,464.43/1,020.94
  6. Step 6: Final answer
    x = 801.68

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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.