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Finding the Fourth Proportional to 1,365.27, 2,047.66 and 364.64

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Solution

The fourth proportional to 1,365.27, 2,047.66 and 364.64 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.27 : 2,047.66 = 364.64 : x
  2. Step 2: Convert to fraction form
    1,365.27/2,047.66 = 364.64/x
  3. Step 3: Cross multiply
    1,365.27x = 2,047.66 × 364.64
  4. Step 4: Simplify right side
    1,365.27x = 746,650.57
  5. Step 5: Solve for x
    x = 746,650.57/1,365.27
  6. Step 6: Final answer
    x = 546.89

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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.