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Finding the Fourth Proportional to 1,365.11, 2,047.64 and 339.11

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Solution

The fourth proportional to 1,365.11, 2,047.64 and 339.11 is: 508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.11 : 2,047.64 = 339.11 : x
  2. Step 2: Convert to fraction form
    1,365.11/2,047.64 = 339.11/x
  3. Step 3: Cross multiply
    1,365.11x = 2,047.64 × 339.11
  4. Step 4: Simplify right side
    1,365.11x = 694,363.27
  5. Step 5: Solve for x
    x = 694,363.27/1,365.11
  6. Step 6: Final answer
    x = 508.65

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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.