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Finding the Fourth Proportional to 1,107.96, 1,661.46 and 458.52

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Solution

The fourth proportional to 1,107.96, 1,661.46 and 458.52 is: 687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.96 : 1,661.46 = 458.52 : x
  2. Step 2: Convert to fraction form
    1,107.96/1,661.46 = 458.52/x
  3. Step 3: Cross multiply
    1,107.96x = 1,661.46 × 458.52
  4. Step 4: Simplify right side
    1,107.96x = 761,812.64
  5. Step 5: Solve for x
    x = 761,812.64/1,107.96
  6. Step 6: Final answer
    x = 687.58

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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.