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Finding the Fourth Proportional to 1,419.99, 2,130.30 and 495.33

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Solution

The fourth proportional to 1,419.99, 2,130.30 and 495.33 is: 743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.99 : 2,130.30 = 495.33 : x
  2. Step 2: Convert to fraction form
    1,419.99/2,130.30 = 495.33/x
  3. Step 3: Cross multiply
    1,419.99x = 2,130.30 × 495.33
  4. Step 4: Simplify right side
    1,419.99x = 1,055,201.50
  5. Step 5: Solve for x
    x = 1,055,201.50/1,419.99
  6. Step 6: Final answer
    x = 743.10

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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.