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Finding the Fourth Proportional to 1,530.25, 2,295.39 and 490.27

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Solution

The fourth proportional to 1,530.25, 2,295.39 and 490.27 is: 735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.25 : 2,295.39 = 490.27 : x
  2. Step 2: Convert to fraction form
    1,530.25/2,295.39 = 490.27/x
  3. Step 3: Cross multiply
    1,530.25x = 2,295.39 × 490.27
  4. Step 4: Simplify right side
    1,530.25x = 1,125,360.86
  5. Step 5: Solve for x
    x = 1,125,360.86/1,530.25
  6. Step 6: Final answer
    x = 735.41

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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.