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Finding the Fourth Proportional to 1,086.21, 1,624.05 and 933.93

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Solution

The fourth proportional to 1,086.21, 1,624.05 and 933.93 is: 1,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.21 : 1,624.05 = 933.93 : x
  2. Step 2: Convert to fraction form
    1,086.21/1,624.05 = 933.93/x
  3. Step 3: Cross multiply
    1,086.21x = 1,624.05 × 933.93
  4. Step 4: Simplify right side
    1,086.21x = 1,516,749.02
  5. Step 5: Solve for x
    x = 1,516,749.02/1,086.21
  6. Step 6: Final answer
    x = 1,396.37

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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.