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Finding the Fourth Proportional to 1,199.51, 1,650.53 and 919.64

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Solution

The fourth proportional to 1,199.51, 1,650.53 and 919.64 is: 1,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.51 : 1,650.53 = 919.64 : x
  2. Step 2: Convert to fraction form
    1,199.51/1,650.53 = 919.64/x
  3. Step 3: Cross multiply
    1,199.51x = 1,650.53 × 919.64
  4. Step 4: Simplify right side
    1,199.51x = 1,517,888.81
  5. Step 5: Solve for x
    x = 1,517,888.81/1,199.51
  6. Step 6: Final answer
    x = 1,265.42

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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.