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Finding the Fourth Proportional to 965.73, 1,445 and 575.94

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Solution

The fourth proportional to 965.73, 1,445 and 575.94 is: 861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.73 : 1,445 = 575.94 : x
  2. Step 2: Convert to fraction form
    965.73/1,445 = 575.94/x
  3. Step 3: Cross multiply
    965.73x = 1,445 × 575.94
  4. Step 4: Simplify right side
    965.73x = 832,233.30
  5. Step 5: Solve for x
    x = 832,233.30/965.73
  6. Step 6: Final answer
    x = 861.77

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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.