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Finding the Fourth Proportional to 1,186.42, 1,780.02 and 494.43

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Solution

The fourth proportional to 1,186.42, 1,780.02 and 494.43 is: 741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.42 : 1,780.02 = 494.43 : x
  2. Step 2: Convert to fraction form
    1,186.42/1,780.02 = 494.43/x
  3. Step 3: Cross multiply
    1,186.42x = 1,780.02 × 494.43
  4. Step 4: Simplify right side
    1,186.42x = 880,095.29
  5. Step 5: Solve for x
    x = 880,095.29/1,186.42
  6. Step 6: Final answer
    x = 741.81

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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.