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Finding the Fourth Proportional to 1,201.36, 1,657.62 and 729.50

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Solution

The fourth proportional to 1,201.36, 1,657.62 and 729.50 is: 1,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.36 : 1,657.62 = 729.50 : x
  2. Step 2: Convert to fraction form
    1,201.36/1,657.62 = 729.50/x
  3. Step 3: Cross multiply
    1,201.36x = 1,657.62 × 729.50
  4. Step 4: Simplify right side
    1,201.36x = 1,209,221.85
  5. Step 5: Solve for x
    x = 1,209,221.85/1,201.36
  6. Step 6: Final answer
    x = 1,006.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.