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Finding the Fourth Proportional to 1,409.21, 2,112.81 and 434.77

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Solution

The fourth proportional to 1,409.21, 2,112.81 and 434.77 is: 651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.21 : 2,112.81 = 434.77 : x
  2. Step 2: Convert to fraction form
    1,409.21/2,112.81 = 434.77/x
  3. Step 3: Cross multiply
    1,409.21x = 2,112.81 × 434.77
  4. Step 4: Simplify right side
    1,409.21x = 918,586.40
  5. Step 5: Solve for x
    x = 918,586.40/1,409.21
  6. Step 6: Final answer
    x = 651.84

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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.