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Finding the Fourth Proportional to 1,150.36, 1,725.56 and 457.44

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Solution

The fourth proportional to 1,150.36, 1,725.56 and 457.44 is: 686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.36 : 1,725.56 = 457.44 : x
  2. Step 2: Convert to fraction form
    1,150.36/1,725.56 = 457.44/x
  3. Step 3: Cross multiply
    1,150.36x = 1,725.56 × 457.44
  4. Step 4: Simplify right side
    1,150.36x = 789,340.17
  5. Step 5: Solve for x
    x = 789,340.17/1,150.36
  6. Step 6: Final answer
    x = 686.17

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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.