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Finding the Fourth Proportional to 1,332.70, 1,997.16 and 1,043.80

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Solution

The fourth proportional to 1,332.70, 1,997.16 and 1,043.80 is: 1,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.70 : 1,997.16 = 1,043.80 : x
  2. Step 2: Convert to fraction form
    1,332.70/1,997.16 = 1,043.80/x
  3. Step 3: Cross multiply
    1,332.70x = 1,997.16 × 1,043.80
  4. Step 4: Simplify right side
    1,332.70x = 2,084,635.61
  5. Step 5: Solve for x
    x = 2,084,635.61/1,332.70
  6. Step 6: Final answer
    x = 1,564.22

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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.