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Finding the Fourth Proportional to 1,410.54, 2,116.08 and 436.47

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Solution

The fourth proportional to 1,410.54, 2,116.08 and 436.47 is: 654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.54 : 2,116.08 = 436.47 : x
  2. Step 2: Convert to fraction form
    1,410.54/2,116.08 = 436.47/x
  3. Step 3: Cross multiply
    1,410.54x = 2,116.08 × 436.47
  4. Step 4: Simplify right side
    1,410.54x = 923,605.44
  5. Step 5: Solve for x
    x = 923,605.44/1,410.54
  6. Step 6: Final answer
    x = 654.79

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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.