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Finding the Fourth Proportional to 1,305.73, 1,958.85 and 575.31

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Solution

The fourth proportional to 1,305.73, 1,958.85 and 575.31 is: 863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.73 : 1,958.85 = 575.31 : x
  2. Step 2: Convert to fraction form
    1,305.73/1,958.85 = 575.31/x
  3. Step 3: Cross multiply
    1,305.73x = 1,958.85 × 575.31
  4. Step 4: Simplify right side
    1,305.73x = 1,126,955.50
  5. Step 5: Solve for x
    x = 1,126,955.50/1,305.73
  6. Step 6: Final answer
    x = 863.08

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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.