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Finding the Fourth Proportional to 1,199.17, 1,796.14 and 650.19

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Solution

The fourth proportional to 1,199.17, 1,796.14 and 650.19 is: 973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.17 : 1,796.14 = 650.19 : x
  2. Step 2: Convert to fraction form
    1,199.17/1,796.14 = 650.19/x
  3. Step 3: Cross multiply
    1,199.17x = 1,796.14 × 650.19
  4. Step 4: Simplify right side
    1,199.17x = 1,167,829.02
  5. Step 5: Solve for x
    x = 1,167,829.02/1,199.17
  6. Step 6: Final answer
    x = 973.87

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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.