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Finding the Fourth Proportional to 1,409.64, 2,115.12 and 629.57

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Solution

The fourth proportional to 1,409.64, 2,115.12 and 629.57 is: 944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.64 : 2,115.12 = 629.57 : x
  2. Step 2: Convert to fraction form
    1,409.64/2,115.12 = 629.57/x
  3. Step 3: Cross multiply
    1,409.64x = 2,115.12 × 629.57
  4. Step 4: Simplify right side
    1,409.64x = 1,331,603.16
  5. Step 5: Solve for x
    x = 1,331,603.16/1,409.64
  6. Step 6: Final answer
    x = 944.64

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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.