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Finding the Fourth Proportional to 1,191.12, 1,785.48 and 541.68

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Solution

The fourth proportional to 1,191.12, 1,785.48 and 541.68 is: 811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.12 : 1,785.48 = 541.68 : x
  2. Step 2: Convert to fraction form
    1,191.12/1,785.48 = 541.68/x
  3. Step 3: Cross multiply
    1,191.12x = 1,785.48 × 541.68
  4. Step 4: Simplify right side
    1,191.12x = 967,158.81
  5. Step 5: Solve for x
    x = 967,158.81/1,191.12
  6. Step 6: Final answer
    x = 811.97

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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.