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Finding the Fourth Proportional to 1,420.59, 2,130.39 and 543.33

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Solution

The fourth proportional to 1,420.59, 2,130.39 and 543.33 is: 814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.59 : 2,130.39 = 543.33 : x
  2. Step 2: Convert to fraction form
    1,420.59/2,130.39 = 543.33/x
  3. Step 3: Cross multiply
    1,420.59x = 2,130.39 × 543.33
  4. Step 4: Simplify right side
    1,420.59x = 1,157,504.80
  5. Step 5: Solve for x
    x = 1,157,504.80/1,420.59
  6. Step 6: Final answer
    x = 814.81

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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.