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Finding the Fourth Proportional to 1,235.09, 1,853.17 and 541.93

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Solution

The fourth proportional to 1,235.09, 1,853.17 and 541.93 is: 813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.09 : 1,853.17 = 541.93 : x
  2. Step 2: Convert to fraction form
    1,235.09/1,853.17 = 541.93/x
  3. Step 3: Cross multiply
    1,235.09x = 1,853.17 × 541.93
  4. Step 4: Simplify right side
    1,235.09x = 1,004,288.42
  5. Step 5: Solve for x
    x = 1,004,288.42/1,235.09
  6. Step 6: Final answer
    x = 813.13

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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.