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Finding the Fourth Proportional to 1,410.48, 2,115.97 and 436.37

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Solution

The fourth proportional to 1,410.48, 2,115.97 and 436.37 is: 654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.48 : 2,115.97 = 436.37 : x
  2. Step 2: Convert to fraction form
    1,410.48/2,115.97 = 436.37/x
  3. Step 3: Cross multiply
    1,410.48x = 2,115.97 × 436.37
  4. Step 4: Simplify right side
    1,410.48x = 923,334.16
  5. Step 5: Solve for x
    x = 923,334.16/1,410.48
  6. Step 6: Final answer
    x = 654.62

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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.