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Finding the Fourth Proportional to 936.31, 1,405.10 and 525.81

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Solution

The fourth proportional to 936.31, 1,405.10 and 525.81 is: 789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.31 : 1,405.10 = 525.81 : x
  2. Step 2: Convert to fraction form
    936.31/1,405.10 = 525.81/x
  3. Step 3: Cross multiply
    936.31x = 1,405.10 × 525.81
  4. Step 4: Simplify right side
    936.31x = 738,815.63
  5. Step 5: Solve for x
    x = 738,815.63/936.31
  6. Step 6: Final answer
    x = 789.07

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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.