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Finding the Fourth Proportional to 1,235.34, 1,853.51 and 541.64

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Solution

The fourth proportional to 1,235.34, 1,853.51 and 541.64 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.34 : 1,853.51 = 541.64 : x
  2. Step 2: Convert to fraction form
    1,235.34/1,853.51 = 541.64/x
  3. Step 3: Cross multiply
    1,235.34x = 1,853.51 × 541.64
  4. Step 4: Simplify right side
    1,235.34x = 1,003,935.16
  5. Step 5: Solve for x
    x = 1,003,935.16/1,235.34
  6. Step 6: Final answer
    x = 812.68

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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.