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Finding the Fourth Proportional to 1,185.10, 1,777.65 and 491.87

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Solution

The fourth proportional to 1,185.10, 1,777.65 and 491.87 is: 737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.10 : 1,777.65 = 491.87 : x
  2. Step 2: Convert to fraction form
    1,185.10/1,777.65 = 491.87/x
  3. Step 3: Cross multiply
    1,185.10x = 1,777.65 × 491.87
  4. Step 4: Simplify right side
    1,185.10x = 874,375.31
  5. Step 5: Solve for x
    x = 874,375.31/1,185.10
  6. Step 6: Final answer
    x = 737.81

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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.