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Finding the Fourth Proportional to 1,420.25, 2,130.62 and 495.52

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Solution

The fourth proportional to 1,420.25, 2,130.62 and 495.52 is: 743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.25 : 2,130.62 = 495.52 : x
  2. Step 2: Convert to fraction form
    1,420.25/2,130.62 = 495.52/x
  3. Step 3: Cross multiply
    1,420.25x = 2,130.62 × 495.52
  4. Step 4: Simplify right side
    1,420.25x = 1,055,757.02
  5. Step 5: Solve for x
    x = 1,055,757.02/1,420.25
  6. Step 6: Final answer
    x = 743.36

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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.