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Finding the Fourth Proportional to 1,199.51, 1,655.24 and 668.45

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Solution

The fourth proportional to 1,199.51, 1,655.24 and 668.45 is: 922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.51 : 1,655.24 = 668.45 : x
  2. Step 2: Convert to fraction form
    1,199.51/1,655.24 = 668.45/x
  3. Step 3: Cross multiply
    1,199.51x = 1,655.24 × 668.45
  4. Step 4: Simplify right side
    1,199.51x = 1,106,445.97
  5. Step 5: Solve for x
    x = 1,106,445.97/1,199.51
  6. Step 6: Final answer
    x = 922.42

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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.