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Finding the Fourth Proportional to 1,186.42, 1,635.78 and 744.16

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Solution

The fourth proportional to 1,186.42, 1,635.78 and 744.16 is: 1,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.42 : 1,635.78 = 744.16 : x
  2. Step 2: Convert to fraction form
    1,186.42/1,635.78 = 744.16/x
  3. Step 3: Cross multiply
    1,186.42x = 1,635.78 × 744.16
  4. Step 4: Simplify right side
    1,186.42x = 1,217,282.04
  5. Step 5: Solve for x
    x = 1,217,282.04/1,186.42
  6. Step 6: Final answer
    x = 1,026.01

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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.