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Finding the Fourth Proportional to 1,191.08, 1,785.74 and 541.80

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Solution

The fourth proportional to 1,191.08, 1,785.74 and 541.80 is: 812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.08 : 1,785.74 = 541.80 : x
  2. Step 2: Convert to fraction form
    1,191.08/1,785.74 = 541.80/x
  3. Step 3: Cross multiply
    1,191.08x = 1,785.74 × 541.80
  4. Step 4: Simplify right side
    1,191.08x = 967,513.93
  5. Step 5: Solve for x
    x = 967,513.93/1,191.08
  6. Step 6: Final answer
    x = 812.30

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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.