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Finding the Fourth Proportional to 1,291.07, 1,936.48 and 366.62

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Solution

The fourth proportional to 1,291.07, 1,936.48 and 366.62 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.07 : 1,936.48 = 366.62 : x
  2. Step 2: Convert to fraction form
    1,291.07/1,936.48 = 366.62/x
  3. Step 3: Cross multiply
    1,291.07x = 1,936.48 × 366.62
  4. Step 4: Simplify right side
    1,291.07x = 709,952.30
  5. Step 5: Solve for x
    x = 709,952.30/1,291.07
  6. Step 6: Final answer
    x = 549.89

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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.