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Finding the Fourth Proportional to 1,199.23, 1,654.85 and 701.84

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Solution

The fourth proportional to 1,199.23, 1,654.85 and 701.84 is: 968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.23 : 1,654.85 = 701.84 : x
  2. Step 2: Convert to fraction form
    1,199.23/1,654.85 = 701.84/x
  3. Step 3: Cross multiply
    1,199.23x = 1,654.85 × 701.84
  4. Step 4: Simplify right side
    1,199.23x = 1,161,431.65
  5. Step 5: Solve for x
    x = 1,161,431.65/1,199.23
  6. Step 6: Final answer
    x = 968.49

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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.