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Finding the Fourth Proportional to 1,107.14, 1,659.54 and 414.32

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Solution

The fourth proportional to 1,107.14, 1,659.54 and 414.32 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.14 : 1,659.54 = 414.32 : x
  2. Step 2: Convert to fraction form
    1,107.14/1,659.54 = 414.32/x
  3. Step 3: Cross multiply
    1,107.14x = 1,659.54 × 414.32
  4. Step 4: Simplify right side
    1,107.14x = 687,580.61
  5. Step 5: Solve for x
    x = 687,580.61/1,107.14
  6. Step 6: Final answer
    x = 621.04

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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.