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Finding the Fourth Proportional to 1,107.53, 1,661.30 and 458.28

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Solution

The fourth proportional to 1,107.53, 1,661.30 and 458.28 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.53 : 1,661.30 = 458.28 : x
  2. Step 2: Convert to fraction form
    1,107.53/1,661.30 = 458.28/x
  3. Step 3: Cross multiply
    1,107.53x = 1,661.30 × 458.28
  4. Step 4: Simplify right side
    1,107.53x = 761,340.56
  5. Step 5: Solve for x
    x = 761,340.56/1,107.53
  6. Step 6: Final answer
    x = 687.42

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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.