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Finding the Fourth Proportional to 1,199.29, 1,655.03 and 733.54

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Solution

The fourth proportional to 1,199.29, 1,655.03 and 733.54 is: 1,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.29 : 1,655.03 = 733.54 : x
  2. Step 2: Convert to fraction form
    1,199.29/1,655.03 = 733.54/x
  3. Step 3: Cross multiply
    1,199.29x = 1,655.03 × 733.54
  4. Step 4: Simplify right side
    1,199.29x = 1,214,018.76
  5. Step 5: Solve for x
    x = 1,214,018.76/1,199.29
  6. Step 6: Final answer
    x = 1,012.29

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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.