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Finding the Fourth Proportional to 1,150.69, 1,725.18 and 420.27

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Solution

The fourth proportional to 1,150.69, 1,725.18 and 420.27 is: 630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.69 : 1,725.18 = 420.27 : x
  2. Step 2: Convert to fraction form
    1,150.69/1,725.18 = 420.27/x
  3. Step 3: Cross multiply
    1,150.69x = 1,725.18 × 420.27
  4. Step 4: Simplify right side
    1,150.69x = 725,041.40
  5. Step 5: Solve for x
    x = 725,041.40/1,150.69
  6. Step 6: Final answer
    x = 630.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.