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Finding the Fourth Proportional to 1,410.51, 2,116.09 and 436.51

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Solution

The fourth proportional to 1,410.51, 2,116.09 and 436.51 is: 654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.51 : 2,116.09 = 436.51 : x
  2. Step 2: Convert to fraction form
    1,410.51/2,116.09 = 436.51/x
  3. Step 3: Cross multiply
    1,410.51x = 2,116.09 × 436.51
  4. Step 4: Simplify right side
    1,410.51x = 923,694.45
  5. Step 5: Solve for x
    x = 923,694.45/1,410.51
  6. Step 6: Final answer
    x = 654.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.