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Finding the Fourth Proportional to 1,190.42, 1,785.86 and 541.16

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Solution

The fourth proportional to 1,190.42, 1,785.86 and 541.16 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.42 : 1,785.86 = 541.16 : x
  2. Step 2: Convert to fraction form
    1,190.42/1,785.86 = 541.16/x
  3. Step 3: Cross multiply
    1,190.42x = 1,785.86 × 541.16
  4. Step 4: Simplify right side
    1,190.42x = 966,436.00
  5. Step 5: Solve for x
    x = 966,436.00/1,190.42
  6. Step 6: Final answer
    x = 811.84

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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.