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Finding the Fourth Proportional to 1,309.96, 1,965.03 and 385.54

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Solution

The fourth proportional to 1,309.96, 1,965.03 and 385.54 is: 578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.96 : 1,965.03 = 385.54 : x
  2. Step 2: Convert to fraction form
    1,309.96/1,965.03 = 385.54/x
  3. Step 3: Cross multiply
    1,309.96x = 1,965.03 × 385.54
  4. Step 4: Simplify right side
    1,309.96x = 757,597.67
  5. Step 5: Solve for x
    x = 757,597.67/1,309.96
  6. Step 6: Final answer
    x = 578.34

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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.