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Finding the Fourth Proportional to 1,235.57, 1,853.16 and 369.68

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Solution

The fourth proportional to 1,235.57, 1,853.16 and 369.68 is: 554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.57 : 1,853.16 = 369.68 : x
  2. Step 2: Convert to fraction form
    1,235.57/1,853.16 = 369.68/x
  3. Step 3: Cross multiply
    1,235.57x = 1,853.16 × 369.68
  4. Step 4: Simplify right side
    1,235.57x = 685,076.19
  5. Step 5: Solve for x
    x = 685,076.19/1,235.57
  6. Step 6: Final answer
    x = 554.46

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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.